To find the equation of the parabola. How to Solve the Parabola Equation? Can I use the general equation to compare and solve the problem? Perform these mathematical operations to get required values. The x x values should be selected around the vertex. X coordinate. If a>0, parabola is upward, a0, parabola is downward. {eq}\begin{align*} y & =-1-(-2)\\ y & =-1+2= 1\\ \end{align*} {/eq}. Direct link to VirgilKazimirr's post The distinct difference i, Posted 8 years ago. WebThe general equation of a parabola is y = x in which x-squared is a parabola. Other Languages:Parabol Hesaplama, Kalkulator Parabola, Kalkulator Paraboli, Parabel Rechner, . WebIn order to find the focus of a parabola, you must know that the equation of a parabola in a vertex form is y=a(x-h)2+k where a represents the 606 Experts 94% Recurring customers Step 2: Find {eq}h, k {/eq}, and {eq}p {/eq} by comparing the given equation with the standard equation of the parabola. Find the coordinates of the focus and the equation of the directrix for the parabola given by the equation {eq}{(y-2)}^2=12(x-5) {/eq}. Direct link to James Wu's post I guess it could, if the , Posted 8 years ago. Embed this widget . Direct link to The_perfect_apology's post At 3:26 why does Sal squa, Posted 7 years ago. Well, that's just gonna How can we calculate k then? succeed. Step 2 Find the vertex. a^2 + b^2 = c^2. Now what I want to do Western Europe Since 1945 for Teachers: Professional 6th Grade Physical Science: Enrichment Program, Holt McDougal Algebra 2: Online Textbook Help, NYSTCE Educating All Students (EAS) (201) Prep, Psychology 105: Research Methods in Psychology, ASSET Geometry Test: Practice & Study Guide. Let ( x 0, y, Free Parabola Foci (Focus Points) calculator - Calculate parabola focus points given equation step-by-step Calculate parabola focus points given equation step-by-step. No matter what you're writing, good writing is always about engaging your audience and communicating your message clearly. Add Parabola Equation Calculator to your website through which the user of the website will get the ease of utilizing calculator directly. They are frequently used in engineering, physics and other areas. The fixed point is called the focus and the line is the directrix. Find the coordinates of the focus and the equation of the directrix for the parabola given by the equation {eq}{(x-4)}^2=-8(y+1) {/eq}. Parabola can be seen in nature or in man made items. For further assistance, please Contact Us. So, for example, if I had a focus at the point, I don't know, let's say the point (1,2), and I had a directrix at y is equal to, I don't know, let's make it y is equal to -1, what would the equation We have ((x-a)+(y-b)). What if the equation of a directrix isn't as simple as y=k or y= -k? Well, we just apply the distance formula, or really, just the Pythagorean Theorem. That's going to be-- Actually, let me start h = b ( 2a), k = c b2 ( 4a). WebFocus of Parabolic Reflector Calculator Formula for the Focal Distance of a Parabolic Reflector Given its Depth and Diameter The equation of a parabola with vertical axis and vertex at the origin is given by y = 1 4 f x 2 where f is the focal distance which is the distance between the vertex V and the focus F . However, a parabola equation finder will support calculations where you need to apply the standard form. formula of the parabola is actually going to be. The standard form of the equation is \( x = ay^2 + by + c \). To find focus of parabola, substitute the values in focus formula: (b 2a, 4acb2+1 4a) = ( 6 2(3), 4(3)(0)62+1 4(3)) ( b 2 a, 4 a c b 2 + 1 4 a) = ( 6 2 ( 3), 4 ( 3) ( 0) 6 2 + 1 4 ( 3)) Focus of parabola is (1, 35 12) ( 1, 35 12). Even the parabola calculator helps to turn the equation into the vertex form through which you can readily find the crucial points of the parabola. Unlock Skills Practice and Learning Content. Become a member to unlock the rest of this instructional resource and thousands like it. focus vertex directrix. WebLet's say that the directrix is line y = t. The distance of the x coordinate of the point on the parabola to the focus is (x - a). So what is this going to be equal to? Mathematics is the study of numbers, patterns, and relationships. WebThis calculator will find either the equation of the parabola from the given parameters or the vertex, focus, directrix, axis of symmetry, latus rectum Homework Support Online Now let's see if we can simplify things. Basic. Call the focus coordinates (P, Q) and the directrix line Y = R. Step 2. Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons. Equation for directrix: If the parabola is of the form (xh)2 = 4p(yk) ( x h) 2 = 4 p ( y k) then the equation for the directrix is: y =kp y = k p If the parabola is of the form (yk)2 = 4p(xh) ( y k) 2 = 4 p ( x h) then the equations for the directrix is: x =hp x = h p WebFinding the Equation of a Parabola Given Focus and Directrix This calculator will find either the equation of the parabola from the given parameters or the vertex, focus, directrix, axis of symmetry, latus rectum Step 1. of a general focus, (a,b), and a gerneral directrix, y equals k, so let's do that. WebEquation of a parabola given focus and directrix calculator Take any parabola equation, and find a, b, c values from equation substitute those values in Vertex v(h, k). Question 1: Find vertex, focus, y-intercept, x-intercept, directrix, and axis of symmetry for the parabola equation y = 5x2+ 4x + 10? A hyperbola results from the intersection of the plane and the cone, but with the plane at a position that is not parallel to the side of the cone. When Finding the vertex focus and directrix of a parabola given an equation, there are often multiple ways to approach it. divide this whole thing by two times, b minus k. Now, obviously on the left-hand side, this all cancels out, Determine math question In order to determine what the math problem is, you will need to look at the given information and find the key details. so, {eq}\mathbf{h=5} {/eq} and {eq}\mathbf{k=2} {/eq}. The vertex ( h, k) ( h, k) is halfway between the directrix and focus. As a busy student, I appreciate the convenience and effectiveness of Instant Expert Tutoring. {eq}\begin{align*} x & = 5-3\\ x & = 2\\ \end{align*} {/eq}. WebHow to write the equation of a parabola given the focus and focus vertex directrix. the same as the distance from (x,y) to (a,b), to the focus. - [Voiceover] What I have WebThe length of the latera recta (focal width) is \frac {2 b^ {2}} {a} = \frac {8} {3} a2b2 = 38. From the source of Wikipedia: Cartesian coordinate system, Similarity to the unit parabola, Position of the focus. Parabola Calculator with focus and directrix. The focus of a parabola can be calculated by knowing the axis of the parabola, and the vertex of the parabola. This distance has to be (x-a)2+b2-c2=2(b-c)y. Consider, for example, the parabola whose focus is at, Therefore, the equation of the parabola with focus (a,b) and directrix y=c is. We can provide expert homework writing help on any subject. Find equation of parabola given focus and directrix calculator - 25023402. h = b ( 2a), k = c b2 ( 4a). The process of obtaining the equation is similar, but it is more algebraically intensive. Direct link to Hunh Ngc Nh Qunh's post How to remember this form, Posted 8 years ago. Get access to thousands of practice questions and explanations! Everybody needs a calculator at some point, get the ease of calculating anything from the source of calculator-online.net. The parabola calculator will instantly determine parabola-related parameters and displays the graph of the parabolic expressions. I find it great how it explains each solution, it has its problems, but an app THIS is good is bound to, I love this app so much, I have only had 1 real problem with this app, the problem is when I'm using scienctific notation and I need to convert a number to scienctific notation but it's " ### x 10. It moves the node in a circle around a pivot point. Download Parabola Calculator App for Your Mobile, So you can calculate your values in your hand. WebWriting the equation of a parabola given focus and directrix Therefore, the equation of the parabola with focus (a,b) and directrix y=c is. x2 + 9y2 = 9, Higher order differential equations solve, How do you write no solution in delta math, Prentice hall gold algebra 1 practice and problem solving workbook, Solving systems of linear equations linear combinations pretest. Direct link to Praveen Bandarage's post Can someone explain to me, Posted 6 years ago. Well, it would be y is equal to one over, two times, b minus k, so two minus -1, that's the same thing as two plus one, so that's just three, two minus -1 is three, times x minus one, squared, plus 1/2 times, b plus k. Two plus -1 is one, so one, and so what is this going to be? WebSteps to Find the Focus & Directrix of a Parabola Step 1: Identify the given equation and determine orientation of the parabola. - Definition, History, Types & Magnification: Definition, Formula, Calculation & Examples. Question 2: Find the equation, focus, axis of symmetry, vertex, directrix, focal parameter, x-intercepts, y-intercepts of the parabola that passes through the points (1,4), (2,9), (1,6)? b squared minus k squared, plus b squared minus k squared. Rotating a graph like this requires trigonometry. How to Derive the Equation of a Parabola Given its Focus & Directrix. Well, we can evaluate the axis of symmetry, focus, directrix, vertex, x intercept, y intercept by using the parabola formula in the form of \( x = y^2 + bx + c \). 2yb on the left-hand side, plus 2yb. WebWrite the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. Answers in 3 seconds is a great resource for quick, reliable answers to all of your questions. If we consider only parabolas that open upwards or downwards, then the directrix will be a horizontal line of the form y = c . bit of hairy algebra, so hopefully you see that I'm WebThe directrix of parabola is x = h p. Furthermore, the Directrix of a parabola can also be calculated by a simple equation that is: y = c ( b + 1) ( 4a) . Marisa Bjorland has taught math at the community college level since 2008, including remote and online courses. WebFocus and directrix of a parabola Equation of a parabola from focus & directrix CCSS.Math: HSG.GPE.A.2 Google Classroom You might need: Calculator Write the WebEquation of a parabola given focus and directrix calculator Take any parabola equation, and find a, b, c values from equation substitute those values in Vertex v(h, k). \( h= \frac {-b}{(2a)}, k = c-\frac{b^2} { (4a)}\). I guess it could, if the painting is the parabola, the mirror is the focus, and the viewer is the directrix. The following two examples will show how to find the focus and directrix of a parabola using the steps, definitions, and equations above. where would you learn how to graph a parabola with a diagonal directrix? Thai Language History, Alphabet & Writing | The Language Nobel Prize History, Winners & Facts | What is a Nobel Filial Piety: Concept, History, & Texts | What is the Khmer Empire, Language & Facts | Who are the Khmer People Palace of Westminster | Overview, History & Architecture. us a positive value, and you need a non-negative value if you're talking about distances, but you can definitely Copy link. So let's take a arbitrary If yes, this is the right spot for you. where {eq}(h, k) {/eq} is the vertex of the parabola and {eq}p {/eq} is the distance between the vertex and the focus/directrix. delivering on that promise. First of all, find the following parameters: Look for some extra points to have at least five points to plot graph. It shifts a node from one position to the other along with one of the axes that are related to its initial position. $$\begin{align*} {(y-k)}^2 & =4p(x-h)\\ {(y-2)}^2 & =12(x-5)\\ \end{align*} $$. The distance of the y coordinate of the point on the parabola to the focus is (y - b). Direct link to cossine's post You do not have a problem, Posted 8 years ago. An application is not enough to get the job you want. There are many different forms that can be used to provide information. WebGiven the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2. Finding The Focus and Directrix of a Parabola - Conic Sections Share Watch on Finding the Equation of a Parabola Given Focus and Directrix. vertex. Find a variety of Other freeMaths Calculatorsthat will save your time while doing complex calculations and get step-by-step solutions to all your problems in a matter of seconds. Fair enough? Determining mathematical problems can be difficult, but with practice it can become easier. Therefore, the distance between the focus and the vertex. Find the vertex. Disable your Adblocker and refresh your web page . Choose the input form and enter coefficients in designated fields. WebAn equation of a parabola is given. is, I just want to end up with just a y on the left-hand side, and just x's, ab's, and WebIn order to find the focus and directrix of the parabola, we need to have the equations that give an up or down facing parabola in the form (x - h)2 = 4p(y - k) Perform all mathematical operations to get the required values. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. So we could write this as 2 times, b minus k, y if you factor out a 2 and a y, so that's the left-hand side, so that's that piece right over there. Let ( x 0, y . Given: A parabolas equation is y2 = 24x. Well, the Quadratic Formula Calculator helps to solve a given quadratic equation by using the quadratic equation formula. a new color. Step 3: Find the focus and directrix of the parabola. Determine math question In order to determine what the math problem is, you will need to look at the given information and find the key details. So if you square both sides, Y 0 = x 0 2 4 x 0 + 5. y2 = 32x (a) Find the focus, directrix, and focal diameter of the parabola. Let ( a, b) be the focus and let y = c be the directrix. By taking the time to explain the problem and break it down into smaller pieces, anyone can learn to solve math problems. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, How to Find the Focus & Directrix of a Parabola. You're gonna get an the same as that distance. Posted 8 years ago. We can find the x intercept, y intercept, vertex, focus, directrix, axis of symmetry using any parabola equation in the form of y = ax2+ bx + c. In the following sections, we are providing the simple steps to find all those parameters of parabola equation. So, I have a y squared on the left, I have a y squared on the right, well, if I subtract y Vertex of a Parabola. Distance between the point on the parabola to the focus Distance between the point on the parabola to the directrix. On the right-hand side, you have x minus a, squared, and then, let's see, these Therefore, 4a = 24. a = 24/4 = 6. Question and Answer forum for K12 Students. WebThis calculator will find either the equation of the parabola from the given parameters or the vertex, focus, directrix, axis of symmetry, latus rectum Homework Support Online to look like the parabolas that you remember from Our full solution gives you everything you need to get the job done right. By checking the below sections, you will get a good knowledge on the parabola equation concept and you will also obtain a handy calculator tool that gives result in fraction of seconds. WebWolfram|Alpha Widget: Parabola Calculator Parabola Calculator Enter the equation of parabola: Submit Computing Get this widget Build your own widget Browse widget Parabola equation calculator makes the calculation faster and error-free as it uses the maths parabola equation. Let P (x, y) be any point on the parabola whose focus S (x1, y1) and the directrix is the straight line ax + by + c =0. Furthermore, the Directrix of a parabola can also be calculated by a simple equation that is: \(y = c \frac{(b + 1)}{(4a)}\) . of the directrix, in which case this would be negative. the focus of the parabola, and the line is called the Equation of parabola from focus and directrix calculator. The directrix of parabola is \( x = h p \). Solve the y intercept by keeping x = 0 in the parabola equation. Semele Genealogy & Mythology | Who is Semele in Greek Delhi Sultanate History & Rulers | What was the Delhi Maya Religion Overview, Gods & Rituals | The Religion of Wadjet Symbol, Facts & Overview | Snake Egyptian Goddess. Already registered? by two times, b minus k. So, let's divide everything, two times, b minus k, so, two times, b minus k. And I'm actually gonna Work up its side it becomes y = x or mathematically expressed as y = x. However, an online Discriminant Calculator helps to calculate the discriminant of the quadratic polynomial as well as higher degree polynomials. Webto find equation of the directrix, y = p use p to find the endpoints of the latus rectum, ( 2p, p) Plot the focus, directrix, and latus rectum, and draw a smooth curve to form the parabola. Formula for focus: If the parabola is of the form {eq}{(x-h)}^2=4p(y-k) {/eq} then the formula for the focus is: If the parabola is of the form {eq}{(y-k)}^2=4p(x-h) {/eq} then the formula for the focus is: $$\mathbf{(h + p, k)} $$, Equation for directrix: If the parabola is of the form {eq}{(x-h)}^2=4p(y-k) {/eq} then the equation for the directrix is: $$\mathbf{y=k-p} $$, If the parabola is of the form {eq}{(y-k)}^2=4p(x-h) {/eq} then the equations for the directrix is: $$\mathbf{x = h - p} $$. This is the same thing as 2yb minus 2yk, which is the same thing, actually let me just write that down. Great app if you use it to learn, if you just use it to cheat shame on you. gives me the correct solution in seconds with the easiest calculation. So on the left-hand side, what am I going to have? A parabola is set of all points in a plane which are equal distance from a given point and given line. If you need your order delivered immediately, we can accommodate your request. Shopping. copyright 2003-2023 Study.com. (x-a)2+b2-c2=2(b-c)y. WebParabola Calculator Well, we can evaluate the axis of symmetry, focus, directrix, vertex, x intercept, y intercept by using the parabola formula in the form of x = y 2 + b x + c . Alright, so then let's see if we could simplify this thing on the right, and you might recognize, WebFinding the Equation of a Parabola Given Focus and. Parabola equation in vertex form: \( x = a(y-k)^2+ h \). bit of hairy algebra, but it really is not too bad. Try refreshing the page, or contact customer support. Find the coordinate of the vertex using the formula. {eq}\begin{align*} 4p & =12\\ \mathbf{p} & = \mathbf{3}\\ \end{align*} {/eq}. WebParabola Calculator - Symbolab Parabola Calculator full pad Examples Related Symbolab blog posts My Notebook, the Symbolab way Math notebooks have been Had2Know 2010 Direct link to Maria Noelle Maulit's post What is the main differen, Posted 7 years ago. Given the values of p, q, and r, we want to find three constants a, h, and k such that the equation of the parabola can be written as. Example: If the That is the parabola with a focus at (1,2) and a directrix at y equals -1. All the parameters such as Vertex, Focus, Eccentricity, Directrix, Latus rectum, Axis of symmetry, x-intercept, y-intercept. The vertex is halfway between the directrix and focus. How Parabola Calculator Direct link to Mirghani's post where would you learn how, Posted 7 years ago. Moreover, because p is negative, we know that the parabola must open to the negative side of the x -axis. The parabola has many important applications, from a parabolic microphone or parabolic antenna to automobile headlight reflectors and the design of ballistic missiles. The reason is because the squared terms are. of this parabola be? Write the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. First, select the parabola equation from the drop-down. In this case, the formula becomes entirely different. order now Direct link to time.deltaTime's post Take a piece of paper and, Posted 8 years ago. Write the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. WebThis calculator will find either the equation of the parabola from the given parameters or the vertex, focus, directrix, axis of symmetry, latus rectum Decide math questions Thanks to the great satisfaction rating, I will definitely be using this product again! Watch later. point on the parabola. Determine math question In order to determine what the math problem is, you will It only takes a few minutes to setup and you can cancel any time. It's not (b-k)^2 its b^2 - k^2 gives (b+k)(b-k). Looking for a fast solution? These people know what you need for math! In the same way, you can translate the parabola horizontally. click here for parabola vertex focus calculator. order now Let ( a, b) be the focus and let y = c be the directrix. Now, I said all I want is Direct link to SHAFIL MAHEEN N's post its the same thing. If you're looking for a reliable support system, you can trust us. Pict History, Kingdoms & Language | Who were the Picts of Peasants: History & Facts | What is Peasantry? Real World Applications. WebFind the Parabola with Focus (1,2) and Directrix y=-2 (1,2) y=-2 | Mathway Algebra Examples Popular Problems Algebra Find the Parabola with Focus (1,2) and Directrix Tap to unmute. it on the left-hand side, and now let's add 2yb to both sides, so we have all the y's Step 1: Use the directrix to determine the orientation of the parabola. Find Equation of Parabola given Focus and Directrix 7.2. However, for manual plotting of parabola graph you have to follow some steps: The first type of transformation is known as Translation. WebFind Equation of Parabola given Focus and Directrix 7.2. WebEquation Of Parabola From Focus And Directrix Calculator Given the focus and the directrix of a parabola, derive its equation. WebFind the focus, vertex, equation of directrix and length of the latus rectum of the parabola y2 = -8x Solution : From the given equation, the parabola is symmetric about x - axis and it is open left ward. k's on the right-hand side, so the first thing I might want to do, is let's expand each of these expressions that involve with y, so this blue one on the left-hand side, that is going to be y squared minus 2yk, plus k squared, and that is going to be equal to, I'm gonna keep this first one the same, so it's gonna be x minus a, squared, and now let me expand, I'm gonna find a color, expand this in green, so plus y squared, minus focus (x,y) = (_____) directrix = focal diameter = This problem has been solved! distance to the focus, which I am drawing in magenta, and when we take the All other trademarks and copyrights are the property of their respective owners. So awesome it has answers for my calclus textbook AND it explains it. WebWriting the equation of a parabola given focus and directrix Therefore, the equation of the parabola with focus (a,b) and directrix y=c is. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. This parabola is of the form {eq}{(x-h)}^2=4p(y-k) {/eq} so it opens vertically. You just need to enter the parabola equation in the specified input fields and hit on the calculator button to acquire vertex, x intercept, y intercept, focus, axis of symmetry, and directrix as output. Substitution Techniques for Difficult Integrals, Blood Clot in the Arm: Symptoms, Signs & Treatment. For those who struggle with math, equations can seem like an impossible task. The focus of the is parabola {eq}\mathbf{(4,-3)} {/eq} and the directrix is {eq}\mathbf{y = 1} {/eq}. just have to simplify this, and if you get inspired, I encourage you to try to What are the steps to graphing a parabola? Clear up math equations If you're struggling to clear up a math problem, don't give up! Let ( a, b) be the focus and let y = c be the directrix. WebTo find the focus and the directrix, we have to start by finding p. We can form the equation -8 = 4p 8 = 4p and solve for p: -8=4p 8 = 4p p=-2 p = 2 We have y squared, so we know that the parabola opens to the left or to the right. distance to the directrix, which I'm drawing here in blue, has to be the same as the Let ( x 0, y . The focus lies on the axis of symmetry of the parabola. For quick and easy calculations, you can use an online parabola grapher that plots the graphical representation of the given parabola equation. A parabola is the shape of the graph of a quadratic. The second type is Rotation. Direct link to Bryan Ray's post Rotating a graph like thi, Posted 8 years ago. We use the equation {eq}y=k-p {/eq} to find the directrix. You can follow the steps below, or use the calculator on the left to find the parabola's equation. 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If you're seeing this message, it means we're having trouble loading external resources on our website. Well, we can evaluate the axis of symmetry, focus, directrix, vertex, x intercept, y intercept by using the parabola formula in the form of x = y 2 + b x + c . We know the a^2 and the b^2. How to Find the Equation of a Parabola given the Focus and Directrix If you enjoyed this video please consider liking, sharing, Learn how to write the equation of a parabola given the focus and the directrix. a y on the left-hand side, so let's divide everything Equations. How do you describe the transformation of a parabola? Square Root Function Inverse of a parabola. Find the surface area of the composite solid. What if it's a linear equation like y=2x+3 or y=3x-10? y 2 = -8x 4a = 8 a = 2 Vertex : V (0, 0) Focus : F (-2, 0) Equation of directrix : x = 2 Length of latus rectum : 4a = 4 (2) ==> 8 Example 3 : WebDirection: Opens Up Vertex: (0,0) ( 0, 0) Focus: (0,1) ( 0, 1) Axis of Symmetry: x = 0 x = 0 Directrix: y = 1 y = - 1 Select a few x x values, and plug them into the equation to find the corresponding y y values. That means that the We use the equation {eq}x=h-p {/eq} to find the directrix. The distinct difference is that they are generated through different methods. simplify this on your own, it's just gonna be a little How to Derive the Equation of a Parabola Given its Focus & Directrix. Calculate parabola directrix given equation step-by-step. Webparabola equation solver, calculator from points, calculator, graphing vertex, standard of a hyperbola focus and directrix. Determine mathematic question. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. b squared minus k squared, that's a difference of squares, that's the same thing as b plus k, times b minus k, so the b minus k's cancel out, and we are just left with, and we deserve a little Legendary app, i really like how the app allows you to grab problems with the camera, edit them, or just type them in long hand. The app can read handwriting pretty well too! Example 1: Graphing a Parabola with Vertex (0, 0) and the x -axis as the Axis of Symmetry Graph y2 = 24x. In the equations y=a(x-h)^2+k and x=a(y-k)^2+h where a=1/4p , (h,k ) represents vertex and p is the distance between focus and vertex . All I did, is I multiplied Tap for more steps x y 2 1 1 1 4 0 0 1 1 4 2 1 x y - 2 1 - 1 1 4 0 0 1 1 4 2 1 a-x and x-a are negatives of each other. The focus and directrix of the parabola are also found using the parabola vertex form calculator. Rarely Tested Question Types - Conjunctions: Study.com What is IV Therapy? If we consider only parabolas that open upwards or downwards, then the directrix will be a horizontal line of Step 1. The most useful homework explanation is one that is clear and concise.
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