find equation of parabola given focus and directrix calculator

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. Mathematics is the study of numbers, patterns, and relationships. It takes two equations: its the same thing. Focus and Directrix of Parabola. It moves the node in a circle around a pivot point. 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 So on the left-hand side, what am I going to have? - [Voiceover] What I have How much should you pay someone to do your homework, How to find the derivative of y with respect to x, How to find the missing coordinate on the unit circle, Ixl math questions and answers for grade 7, Linear equation slope intercept form calculator, Ncert solutions for class 7th maths chapter 8 comparing quantities, Right riemann sum approximation calculator. All those calculations that involve parabola can be made easy by using a parabola calculator. Check out our extensive collection of tips and tricks designed to help you get the most out of your day. Direct link to Nikhil Naidu's post It's not (b-k)^2 its b^2 , Posted 6 years ago. focus of the x coordinate is b ( 2a), and y Parabola equation calculator makes the calculation faster and error-free as it uses the maths parabola equation. lessons in math, English, science, history, and more. In this equation, the focus is: $ (h, k + p)$. focus (x,y) = (_____) directrix = focal diameter = This problem has been solved! It only takes a few minutes. So, this tool always ready to provide its services to everyone in the blink of an eye and without any cost. WebThe parabola equation calculator displays the graph of the parabola after entering the required values. Example 1: Graphing a Parabola with Vertex (0, 0) and the x -axis as the Axis of Symmetry Graph y2 = 24x. If a>0, parabola is upward, a0, parabola is downward. characters cancel out, and you're left with b copyright 2003-2023 Study.com. We can provide expert homework writing help on any subject. They are frequently used in engineering, physics and other areas. Gamal Abdel Nasser Biography, Facts & Books | Who was Greek Creation Myth: Summary & Gods | The Creation in 1906 San Francisco Earthquake | Overview, Facts & Impact. succeed. bit of a drum roll, we are just left with 1/2 times, b plus k. So, there you go. 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. This symmetrical plane curve made by the intersection of a right circular cone with a plane surface. Output: equation of parabola is 4.0 x^2 + 1.0 y^2 + 4.0 x + 32.0 y + 4.0 xy + 16.0 = 0. Question and Answer forum for K12 Students. Now what I want to do An application is not enough to get the job you want. The focus of a parabola can be calculated by knowing the axis of the parabola, and the vertex of the parabola. squared minus k squared, so these two are gonna be Looking for someone to help with your homework? Finding the Equation of a Parabola Given Focus and Directrix. 2yb on the left-hand side, plus 2yb. WebWolfram|Alpha Widget: Parabola Calculator Parabola Calculator Enter the equation of parabola: Submit Computing Get this widget Build your own widget Browse widget Vertex of a Parabola. In 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). Great app if you use it to learn, if you just use it to cheat shame on you. Call the focus coordinates (P, Q) and the directrix line Y = R. Step 2. the same as that distance. Let's say we take this The way I've just drawn it, yes, y is greater than k, so this is going to give 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 Along with all these mathematical values, this parabola grapher displays the graph of the parabola in the end. 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 Distance between the point on the parabola to the focus Distance between the point on the parabola to the directrix. The equation of a parabola is derived from the focus and directrix, and then the general formula is used to solve an example. Whereas the directrix is $ y = k p $. Well let's get the k squared on this side, so let's subtract k To get convenience, you need to follow these steps: The Parabola equation calculator computes: Whenever the distance between the focus and parabola directrix increases, |a| will decrease. The distance of the y coordinate of the point on the parabola to the focus is (y - b). bit of hairy algebra, but given that definition, I want to see, and given that definition, Step 1: Identify the given equation and determine orientation of the parabola. Webparabola equation solver, calculator from points, calculator, graphing vertex, standard of a hyperbola focus and directrix. You can factor out a 2y, and it's gonna be 2y times, b minus k. So let's do that. Perform all mathematical operations to get the required values. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Find Equation of Parabola given Focus and Directrix 7.2. Take a standard form of parabola equation: $ (x h)2 = 4p (y k) $. I dont know maybe DATA can't load the app! Info. WebFree Parabola calculator - Calculate parabola foci, vertices, axis and directrix step-by-step of a general focus, (a,b), and a gerneral directrix, y equals k, so let's do that. 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. How can we calculate k then? Find axis of symmetry, y-intercept, x-intercept, directrix, focus and vertex for the parabola equation $ x = 11y^2 + 10y + 16 $? WebFind Equation of Parabola given Focus and Directrix 7.2 Well, we can evaluate the axis of symmetry, focus, directrix, vertex, x intercept, y intercept by using the parabola Since the directrix is vertical, use the equation of a parabola that opens up or down. It doesn't look like it, Parabola is a curve where any point is at an equal distance from a fixed point (focus) and a fixed straight line (directrix). WebMore. It is used to solve problems in a variety of fields, including science, engineering, and business. The process of obtaining the equation is similar, but it is more algebraically intensive. How do you describe the transformation of a parabola? Provide step-by-step calculations, when the parabola passes through different points. Write the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. And I'm starting to run into my graph, so let me give myself a little bit more real estate over here. Translating a parabola vertically gives you an opportunity to produce a new 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}. {eq}\begin{align*} x & = 5-3\\ x & = 2\\ \end{align*} {/eq}. Additionally, the parabola grapher displays the graph for the given equation. 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. An online parabola calculator finds the standard and vertex parabolic equations and calculates the focus, direction, vertex, and important points of the parabola. If we consider only parabolas that open upwards or downwards, then the directrix will be a horizontal line of simplify this on your own, it's just gonna be a little Marisa Bjorland has taught math at the community college level since 2008, including remote and online courses. and given a focus at the point x equals a, y equals b, and a line, a directrix, at y equals k, to figure out what is the equation of that parabola actually going to be, and it's going to be based We use the equation {eq}y=k-p {/eq} to find the directrix. 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. So the simplest thing to start here, is let's just square both sides, so we get rid of the radicals. vertex. Given Parabola equation is y = 5x2+ 4x + 10, The standard form of the equation is y = ax2+ bx + c, The parabola equation in vertex form is y = a(x-h)2+ k, The focus of x coordinate = -b/ 2a = -2/5, Focus of y coordinate is = c (b2 1)/ (4a), Directrix equation y = c (b2+ 1) / (4a), To get y-intercept put x = 0 in the equation, To get x-intercept put y = 0 in the equation. It really works for me. So the best option to get rid of the radical sign is to square it, which you must do on both sides of the equation to not change its values. How Parabola Calculator Clarify mathematic You can always count on us for help, 24 hours a day, 7 days a week. 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. 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). WebWrite the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. A parabola is the shape of the graph of a quadratic. How do you graph lines in slope intercept form, How to find the sum of n terms in a geometric series, How to get volume in straight hair overnight, Interview questions and answers in english, Methods to calculate elasticity of demand. Write the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. To find the equation of the parabola. Find equation of parabola given focus and directrix calculator - 25023402. No matter what you're writing, good writing is always about engaging your audience and communicating your message clearly. It has absolutely helped me a lot! If the parabola is horizontal, the equation of the parabola is of the form (yk)2 = 4p(xh) ( y k) 2 = 4 p ( x h) In either case, (h,k) ( h, k) is the midpoint between the focus and the directrix (i.e. the vertex), and |p| | p | is half the distance between the focus and the directrix. 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 Now just Plot the points and sketch your parabola graph. WebFind equation of parabola given focus and directrix calculator. $$\begin{align*} {(x-h)}^2 & =4p(y-k)\\ {(x-4)}^2 & =-8(y-(-1))\\ \end{align*} $$. Add Parabola Equation Calculator to your website through which the user of the website will get the ease of utilizing calculator directly. So, the answer will be y 2 = 28 ( x + 3), which is not y 2 = 28 ( x + 1). Direct link to Bryan Ray's post Rotating a graph like thi, Posted 8 years ago. Become a member to unlock the rest of this instructional resource and thousands like it. Parabola can be seen in nature or in man made items. Equations. an equation of a parabola. The signed distance from the directrix to the vertex is ${4\cdot3+3\cdot1-5\over5}=2$ and from the equation of the directrix the corresponding unit normal is $\frac15(4,3)$, so the focus is at Write the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. 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. However, a parabola equation finder will support calculations where you need to apply the standard form. Shopping. Cancel any time. Step 1 Call the focus coordinates (P, Q) and the directrix line Y = R. Given 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 For an Choose the input form and enter coefficients in designated fields. If the parabola opens up or down the equation is: $$\mathbf{{(x-h)}^2=4p(y-k)} $$, If the parabola opens left or right the equation is: $$\mathbf{{(y-k)}^2=4p(x-h)} $$. Simple and accurate. Direct link to Daniel's post At 7:34, what happened to, Posted 7 years ago. Everybody needs a calculator at some point, get the ease of calculating anything from the source of calculator-online.net. The directrix of parabola is $ x = h p $. directrix of the parabola. How does the distance between the focus and the Directrix affect the shape of a parabola? equation for a parabola that you might recognize, and it's gonna be in terms That means that the Take any parabola equation, and find a, b, c values from equation. Parabola calculator used to get quick results and obtain the graph for any given parabolic equation. bit of hairy algebra, but it really is not too bad. If you know the coordinates of the focus and the equation of the directrix, you can use this information to deduce the equation of the parabola.You can follow the steps below, or use the calculator on the left to find the parabola's equation. Let ( x 0, y . That's going to be-- Actually, let me start 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 substitute those values in Vertex $ v(h,k) $. WebThe parabola calculator finds the vertex form, focus and directrix of every parabola. of this parabola be? Step 1. Parabola focus & directrix review (article), Centripetal acceleration equation with velocity, Equation of a tangent line calculator at a point, Find length and width of rectangle calculator, Find the midpoint of the line segment joining the points r( ) and s( ), Solve the variable of the following quadratic equation. which would be equivalent to taking the absolute value of y minus k. So that's this distance right over here, and by the definition of a parabola, in order for (x,y) to be The focus of the is parabola {eq}\mathbf{(8,2)} {/eq} and the directrix is {eq}\mathbf{x = 2} {/eq}. b squared minus k squared, plus b squared minus k squared. WebAn equation of a parabola is given. Webparabola generator: vertex, focus, directrix. These things cancel out. WebFind the Parabola with Focus (2,0) and Directrix x=-2 (2,0) x=-2 Step 1 Since the directrixis horizontal, use the equationof a parabolathat opens left or right. This parabola equation finder makes your calculation faster and easy by solving all the related properties of the parabolic equation. The parabola equation in vertex form is $ x = a(y-h)^2 + k $, $$ h = \frac {-b}{(2a)} = \frac {-10} {(2.11)} = \frac {-10}{ 22}$$, $$k = c-\frac{b^2} { (4a)} = 16 \frac {100} {(4.11)}$$, $$ = \frac {704- 100} {44} = \frac {604} {44} = \frac {151}{44}$$, Vertex is $ (\frac{-5}{11}, \frac{151}{11}) $, The focus of x coordinate = $ \frac{-b} {2a} = \frac {-5}{11} $, Focus of y coordinate is = $ c \frac {(b^2 1)} {(4a)} $, $$= 16 \frac {(100 1)} {(4.11)} = \frac {16- 99}{44}$$, $$= \frac{704-99} {44} = \frac{605}{44} => \frac {55}{4}$$, Focus is $ (\frac{-5}{11}, \frac{55}{4}) $, Directrix equation $ y = c \frac {(b^2 + 1)}{(4a)} $, $$ = 16 (100 + 1) / (4.11) = 16- 101/44$$, $$ Axis of Symmetry = -b/ 2a = \frac{-5}{11}$$, for y intercept put x is equal to 0 in equation, now x intercept put y is equal to 0 in equation. The focus of a parabola can be calculated by knowing the axis of the parabola, and the vertex of the parabola. 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. I guess you could say, of the line, y equals k, so it's one over, two times that, times x minus a, squared. Direct link to Mirghani's post where would you learn how, Posted 7 years ago. Tap for more. a^2 + b^2 = c^2. The focus and directrix of the parabola are also found using the parabola vertex form calculator. So what is this going to be equal to? Find an equation of a parabola with the focus F (1, 1) and the directrix y = x Asked 5 years, 7 months ago Modified 5 years, 7 months ago Viewed 1k times 0 Using the definition of a parabola as the locus of points equidistant from a given point (focus) and a line (directrix). where would you learn how to graph a parabola with a diagonal directrix? The steps are easy and fun to follow along and teaches you a lot! 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. Direct link to Ganesh's post Can I use the general equ, Posted 8 months ago. And, this gadget is 100% free and simple to use; additionally, you can add it on multiple online platforms. Feel free to contact us at your convenience! bit of hairy algebra, so hopefully you see that I'm The vertex ( h, k) ( h, k) is halfway between the directrix and focus. 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 document.write("- "+yr); Good Calculators: Significant Figures Calculator. Find the Parabola with Focus (1,2) and Directrix y=-2 (1,2) y=-2 Step 1 Since the directrixis vertical, use the equationof a parabolathat opens up or down. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, How to Find the Focus & Directrix of a Parabola. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Looking for a fast solution? First, select the parabola equation from the drop-down. Example: If the focus of a parabola is (2,5) and the Parabola Calculator with focus and directrix. 2yb, plus b squared. For quick and easy calculations, you can use an online parabola grapher that plots the graphical representation of the given parabola equation. When it gives you an answer it tells what formulas you have to use to solve the problem, the person that made and came up with this idea is an angel. What is the main difference of parabolas from hyperbolas? Other Languages:Parabol Hesaplama, Kalkulator Parabola, Kalkulator Paraboli, Parabel Rechner, . 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) Mathematics is a way of dealing with tasks that require e#xact and precise solutions. http://en.wikipedia.org/wiki/Anamorphosis, Creative Commons Attribution/Non-Commercial/Share-Alike. Parabola: A parabola is a curved shape where any point is at an equal distance from a fixed point, and a fixed straight line. Disable your Adblocker and refresh your web page . WebWrite the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. 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. 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. Unlock Skills Practice and Learning Content. Step 1: Use the directrix to determine the orientation of the parabola. There you go. You can get math help online by visiting websites like Khan Academy or Mathway. 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. WebHow to Derive the Equation of a Parabola Given its Focus & Directrix Step 1: Use the directrix to determine the orientation of the parabola. In the same way, you can translate the parabola horizontally. Well, that simplified things a little bit, and now I can, let's see what I can do. 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). So if you knew what b minus k was, this would just simplify to some number, some number that's being multiplied times x minus a, squared, so hopefully this is starting 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. For those who struggle with math, equations can seem like an impossible task. Find the surface area of the composite solid. Added Nov 21, 2015 by Team1 in Mathematics. QueenLife4139 QueenLife4139 10/12/2021 answered Find equation of Equivalently, you could put it in general form: x^2 + Find the vertex. distance to the directrix, which I'm drawing here in blue, has to be the same as the Rarely Tested Question Types - Conjunctions: Study.com What is IV Therapy? WebWrite the equation of the parabola Given the directrix y = 2 and focus (0, 8) find: The vertex. thus, {eq}\mathbf{h=4} {/eq} and {eq}\mathbf{k=-1} {/eq}. Example: If the Real World Applications. We use the equation {eq}x=h-p {/eq} to find the directrix. By taking the time to explain the problem and break it down into smaller pieces, anyone can learn to solve math problems. Math can be a difficult subject for many people, but it doesn't have to be! Step 1. So, I have a y squared on the left, I have a y squared on the right, well, if I subtract y Solve the y intercept by keeping x = 0 in the parabola equation. How to Derive the Equation of a Parabola Given its Focus & Directrix. 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) . Had2Know 2010 So just put the values in the given fields accordingly. Converting Standard And Vertex Forms. Y 0 = x 0 2 4 x 0 + 5. You can follow the steps below, or use the calculator on the left to find the parabola's equation. Example: If the focus of a parabola is (2,5) and the. Let ( a, b) be the focus and let y = c be the directrix. What if the equation of a directrix isn't as simple as y=k or y= -k? sitting on the parabola, that distance needs to be Question 1: Find vertex, focus, y-intercept, x-intercept, directrix, and axis of symmetry for the parabola equation y = 5x2+ 4x + 10? delivering on that promise. It is defined as a special curve that has shaped like an arch. Axis of symmetry $ \frac {-b}{(2a)} $ and solve y intercept by keeping $ x = 0 $ in equation. Perform these mathematical operations to get required values. This is the same thing as 2yb minus 2yk, which is the same thing, actually let me just write that down. Follow them while solving the equation. If you're looking for a reliable support system, you can trust us. Already registered? h = b ( 2a), k = c b2 ( 4a). Step 1: Use the directrix to determine the orientation of the parabola. Posted 8 years ago. NY Regents - Manifest Destiny & Westward Expansion: AP Physics 2: Conservation in Electrical Circuits. Direct link to Hunh Ngc Nh Qunh's post How to remember this form, Posted 8 years ago. Y coordinate. This is a great app, sometimes it doesn't scan the problem correctly but you just have to double check if it is correct and if it isn't then just rescan, but this app has helped a lot. We can't cancel this to (x-a)+(y-b) because it would be incorrect. 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. Direct link to James Wu's post I guess it could, if the , Posted 8 years ago. it on the left-hand side, and now let's add 2yb to both sides, so we have all the y's From the source of Wikipedia: Cartesian coordinate system, Similarity to the unit parabola, Position of the focus. (x-a)2+b2-c2=2(b-c)y. 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)? a-x and x-a are negatives of each other. Given Parabola equation is $ x = 11y^2 + 10y + 16 $. Basic. Calculate parabola directrix given equation step-by-step. WebFind Equation of Parabola given Focus and Directrix 7.2 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 . 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. This parabola is of the form {eq}{(x-h)}^2=4p(y-k) {/eq} so it opens vertically. Some functions are lacking yet they are improving it all the time, thank you for this app. Therefore, the distance between the focus and the vertex. Given: A parabolas equation is y2 = 24x. Step 3: Find the focus and directrix of the parabola. distance to the focus, which I am drawing in magenta, and when we take the - Definition, History, Types & Magnification: Definition, Formula, Calculation & Examples. How to Solve the Parabola Equation? 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 the focus of the parabola, and the line is called the It lets you understand how to put the values in the parabola formula as well. its focus and its directrix, so what does that mean? WebFind Equation of Parabola given Focus and Directrix 7.2. on a's, b's, and k's, so let's do that. point on the parabola. Solving math equations can be challenging, but it's also a great way to improve your problem-solving skills. It will be the same as the basic parabola. gives me the correct solution in seconds with the easiest calculation. Since the vertex of the parabola is halfway between the focus and directrix Geographic Interactions in Culture & the Environment, Geographic Diversity in Landscapes & Societies, Tools & Methodologies of Geographic Study, Physical Science - Water Balance: Homework Help, NY Regents - The American Revolution: Tutoring Solution, Reading Informational Texts: Tutoring Solution, Imperialism in the 19th and 20th Centuries: Help and Review, CSET Math: Geometric Description & Polar Coordinates. 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 A parabola is created when a plane parallel to a cone's side cuts through the cone. Whereas it can be calculated via the parabola equation. Math is the study of numbers, space, and structure. 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. 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).

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