Focus and directrix worksheet algebra 2. d D WAQlplI arSiwgKhYttsb hrweQsIe_r^vpevdS.

Focus and directrix worksheet algebra 2 Find the vertices and foci of an ellipse. Solution Pre-Calculus Parabolas HW Worksheet D2 Name: Graph the parabola and identify the vertex, directrix, focus and axis of symmetry. 2+10 +8 −7=0 7) Find the equation of a parabola with vertex (3, -6) and focus (3, 0). Parabola Worksheet #2 by Darwin Zimmerman | Teachers Pay Teachers. 1 Use the Language of Algebra; 1. The plane in parabola lies at the same angle as the exterior surface of the cone. AI Tutor. Algebra 2 13. Therefore, the focus is (− 3, 0) and the directrix is x = 3. Upload syllabus. 20 PRACTICE PROBLEM. 3) Worksheet 2 1 – 26 . Holt McDougal Algebra 2: Online Textbook Help Pre-Calculus Parabolas HW Worksheet D2 Name: Graph the parabola and identify the vertex, directrix, focus and axis of symmetry. 64 Chapter 2 Quadratic Functions Exploring the Focus and Directrix Previously, you learned that the graph of a quadratic function is a parabola that opens up or down. Step 1. Parabola worksheets printable Equation of parabola given focus and directrix worksheet Graphing parabolas worksheet 2 with answer key. ` Then the angle which `KP` subtends at the focus is asked Dec 30, 2019 in Parabola by Aakriti Ananya ( 25. A2. Algebraic Expressions. When given a standard equation for a parabola centered at the origin, we can easily identify Because y is squared, we know that the parabola opens to the left or right. Parabolas: Focus & Directrix Practice quiz for 10th grade students. so vertex=[(focus x value+directrix x value)/2, (focus y value+directrix y value)/2] Plug in what you know: (-3,-1) = [(-3+x)/2,(0+y)/2] make two equations, one for the x, and one for the y. directrix x = - 6; focus (2, 0) Find the standard form of the equation of the parabola described. Now we extend the discussion to include other key features of the parabola. Derive The Equation Of A Parabola Given Focus And Find the directrix and an equation for this parabola. Then graph. Within that unit, I decided to model a A parabola with a focus of (0,4) and a directrix of y=2 is sketched as follows: By inspection, it is determined that the vertex of the parabola is (0,3). Multiplying Polynomials. Find the vertex 2. 5. vertex (0, 0); focus (0, 4) 2. Popular Problems. 2. 11) −x2 + 10 x + 3y − 37 = 0 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 12) y2 + 2x − 4y − 4 Algebra Examples. 2 Graphing Quadratic Functions 3b Name_____ ©u X2N0S1N7O GKfuAt\aU xSroNfPt^wVakrgeD ILJLoC^. Explain how the points on a parabola are related to one another. Algebra 2 Unit 9 (Chapter 9) 0. 2x² and y = -. FIND THE VERTEX FOCUS AND DIRECTRIX OF THE PARABOLA WORKSHEET. Worksheet by Kuta Software LLC-2-11) Vertex: Focus: ( , ), Directrix: y Names. GPE. The parabola is sideways because there is a y 2 term. Algebra 2 SE Chapter 2. Write each pair of parametric equations in rectangular form. 1) g(x) x f (x) x No 2) h(n) n f(n) n Yes Printable in convenient pdf format. Because p is negative, we know it is going to open to the left, towards the negative side of the x-axis. 217 Consider the parabola given by y= 1 4 x+x+8 with vertex (−2,7) and focus (−2,8). Find the coordinate of the vertex using the formula. Worksheet by Kuta Software LLC-2-11) Vertex: Focus: ( , ), Directrix: y Parabola worksheets printable Equation of parabola given focus and directrix worksheet Graphing parabolas worksheet 2 with answer key. y = x – 2x + 4 3. A parabola can also be defi ned as Worksheet by Kuta Software LLC-2-11) A basketball player has a 60% chance of making each free throw. = 6x Write an equation of the parabola with vertex at (0, 0) and the given directrix or focus. Algebra Examples. o Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Writing Equations of Parabolas Algebra 2 Lessons and Practice is a free site for students (and teachers) studying a second year of high school algebra. GEOMETRY: Expressing Geometric Properties with Equations: G. Worksheet by Kuta Software LLC-2-13) Vertex: About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright 1. Then sketch the graph. Use the scale to rate your understanding of the learning target and the success criteria. 2 Integers; 1. 15. REGENTS WORKSHEETS: Regents-Graphing Quadratic Functions AII: 19: TST PDF DOC: Identify the vertex, focus, axis of symmetry, and directrix of each. Exam Prep. Adaptive learning for English vocabulary ABCya. 3 Use the techniques of translations and rotation of axis in the coordinate plane to graph This algebra 2 worksheet will produce problems for writing equations of parabolas. 6 : T E2 ; L F12 : U E1 ; Coordinate of vertex: Direction it opens: Axis of symmetry: Use your formula sheet to identify the focus and directrix See class notes if needed. Since the directrix is vertical, use the equation of a parabola that opens up or down. The focal length is p = 1 2 which means the focus is 1 2 to the right of the vertex at (-2. Step 1: The distance from the vertex to the focus is 2 = d, the focal distance. ) of conic sections from their equation or graph. Identify the coordinates of. You can understand this 'widening' effect in terms of the focus and directrix. 5k points) The key features of a parabola are its vertex, axis of symmetry, focus, directrix, and latus rectum (Figure \(\PageIndex{5}\)). vertex; focus; the equations of the axis of symmetry; latus rectum; directrix ; the direction of opening of the parabola ; with the given equation. 25. X + eBooks + ACCUPLACER Mathematics + ACT Mathematics + AFOQT Algebra Puzzle – Challenge Identify the vertex, focus, axis of symmetry, and directrix of each. 1x² is a wider parabola than y = . 25? y 4 ˜ 2 O 2 4 ˜4 4 x x ˜ 1. 3. Write the equation of a parabola that opens up and has its vertex at the origin. 2) Worksheet 1 1 – 26 . ) y = x2+ 2x + 3 2. 64 Chapter 2 Quadratic Functions Exploring the Focus and Directrix Previously, you learned that the graph of a quadratic function is a Write an equation of the parabola with focus F(0, 2) and directrix y = −2. 10th - 11th grade. x^2 = 4y Equation of parabola worksheetAlgebra 2 worksheets Parabola equation worksheet vertex onlinemath4allParabola equation algebra vertex. The key features of a parabola are its vertex, axis of symmetry, focus, directrix, and latus rectum (Figure \(\PageIndex{5}\)). xy= 2 Graph the equation. Quizzes & Worksheets. The vertex is Algebra: Conic sections - ellipse, parabola, hyperbola Section. Algebra 2 Worksheets | Conic Sections Worksheets. = 6x Write an equation of the parabola with vertex at (0, 0) and the given Z g aMvaedbec 7w7intwhN bINnGf2ifnhi Rtyed dA HlLg2e 3bYr Va S 12G. 0 > CK-12 Algebra 2 with Trigonometry Concepts > Parabolas with Vertex at (h, k) Written by: Lori Jordan | Kate Dirga . 3 Fractions; 1. Solving two variable systems of equations worksheets. Find the equation of the parabola with vertex and focus . xy 2( 3) 12 Chapter 10 13 Glencoe Algebra 2 Lesson 10-2 y x O O x y O x y y O x x y O y O x Did you check your answers on the nspire or the answer sheet? If not, you HAVE NOT finished!! Title: Alg2 hw 10 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. My Course; Learn; Practice Worksheet. ID: A 2 4 ANS: 4 A parabola with a focus of (0,4) and a directrix of y=2 is sketched as follows: By inspection, it is determined that the vertex of the parabola is (0,3). 5 Properties of Real Numbers; Chapter Review. vertex (4, 7); focus (4, 4) 3. Find other quizzes for Mathematics and more on Quizizz for free! Worksheet Save Share. 32m. Derive the equation of a parabola given a focus and directrix. The vertex is halfway between the directrix and focus. Like the circle, the parabola is a quadratic relation, but unlike the circle, either x will be squared or y will be squared, but not both. The directrix has equation x = -c, so c = -1. 5 Name _____ Section 1: Parabolas 1) Find the vertex, focus, and directrix. Spiral Review . Since the directrix is vertical, use the equation of a parabola that Algebra 2/Trig Parabola A #1 –21 odd Worksheet – Parabolas Parabola B #2 – 22 even Parabola C #23 - 30 Find the vertex, focus and directrix of each parabola, then graph the parabola. See In other words y = . Let's find the equation of the parabola. Statistics & Probability 4) 9) Focus: (5 4, 1), Directrix: x = 11 4 10) Focus: (3, 6), Directrix: y = 8 Identify the vertex, focus, axis of symmetry, and directrix of each. About This Quiz & Worksheet. Include the vertex, focus, and directrix in your sketch. Click here to see ALL problems on Quadratic-relations-and-conic-sections; Question 815009: Find the vertex, focus, and directrix of the parabola Y^2+14y+4x+45=0 Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website! y^2 + 14y + 4x College Algebra ? Get exam ready. indb 63 5/10/20 1:31 PM. Focus: ( , ), Directrix: y . Thus, The vertex is always the midpoint between the focus and directrix. Using the pictures above, this parabola is like the second one under y 2 = 4 p x. The vertex is and the parabola opens up because is positive and is squared. Answers 1. 2 Graphing Quadratic Functions 2b Name_____ ©q j2Z0k1g7D OKPu^tRa\ ZSQoifMtvw[amrieY qL]LhCo. Math Worksheets Name: _____ Date: _____ So Much More Online! Please visit: www. v n WAPlqlb lrXiXg[h_tmsC VrOeRsReXr^v`ePdB. com Topical Outline | Algebra 2 Outline | MathBits' Teacher STANDARD G. −y = x2 4. y^2 = 8x Algebra II Practice G. It is a slice of a right cone parallel to one side (a generating line) of the cone. Learn. Spanish-English dictionary, translator, and learning Looking for an activity to engage Algebra 2 students who are practicing deriving the equation of a parabola? In this no prep digital activity, students will derive the equation of a parabola given a focus and directrix. ) 2 + 3x 5 Standard Form t o Vertex Form HINT: Example 2:A is the same in both forms! Write the function in vertex form y = x2 8x + 19 Steps: 1. org and *. 4 Decimals; 1. What Is the Focus and Directrix of Parabolas? Parabola is defined as the conic section formed by an intersection of the circular surface and a parallel plane, creating a straight line. As the distance between the focus and directrix increases, FIND THE VERTEX FOCUS AND DIRECTRIX OF THE PARABOLA WORKSHEET. They use algebraic techniques to derive the analytic PreCalc – Worksheet 7. 1. Find the center and Algebra II Name: _____ Notes 2. The parabola is horizontal. Key Terms; Key Concepts; The fixed point is called the focus, and the fixed line is called the directrix of the Worksheet by Kuta Software LLC Algebra 2 Unit 2 Test Review Name_____ Date_____ Period____ ©L O2M0]1S5D VKcu[tqag CSAoLfltdwda`rYem [LbLTCu. You can easily find the focus, vertex, and directrix from the standard form of a parabola. Marketplace for millions of educator-created resources Vocabulary. N A ZMoa_dGe` ywai^t\hg vIZnmfmiynKihtKet TATlxg[eqbhryaU L2z. Find the Parabola with Focus (1,2) and Directrix y=-2 (1,2) y=-2. -1-Identify the vertex, focus, and directrix of each. You may select the parabolas properties given to write the equation. 5, -1) and the directrix is 1 2 to the left of the vertex at x = − 3. In this . the vertex is (-2,3) the parabola opens upwards (x-h)^2=4p(y-k) Functions Word Problems Algebra Help College Algebra Math Help Polynomials Algebra Word Problem Mathematics Algebra 2 Question Algebra 2 Help. jmap. 2: Derive the equation of a parabola given a focus and directrix. FlexBooks 2. Equation of parabola worksheetAlgebra 2 worksheets Parabola equation worksheet vertex onlinemath4allParabola equation algebra vertex. A parobala has a focus of (0,3) and a directrix of y=5. Parabola Equation Practice MathBitsNotebook. 2 AII. (y - 1)^2 = - 4(x - 1) Verified View Homework Help - 13. It is also evident that the distance, p, Algebra 2 teachers -- need to review the focus and directrix of a parabola with your students to help them prepare for a unit test or end of year exam? This 2-page test prep worksheet gives students practice writing the equation of Identify the focus, directrix, and axis of symmetry of the parabola. Then graph the parabola. 5 – Focus and Directrix of a Parabola Name: _____ Hour: _____ Date: _____ SECTION 1: Use the Distance Formula to write the equation of the parabola. Algebra 2 Unit 9 (Chapter 9) 0. 35,000 worksheets, games, and lesson plans TPT. . 1) y -2- Worksheet by Kuta Software LLC Identify the vertex, focus, axis of symmetry, directrix, I am overseeing the Algebra II curriculum and for my first unit training, I chose to do Unit 4 (Graphing and Writing Quadratic Equations). Find the Parabola with Focus (2,2) and Directrix x=8 (2,2) x=8. These quiz questions will assess how much you know about the focus and directrix of a parabola. 25 The directrix lies directly to the right of the vertex. Plug that value into the original equation to find y You Try It! Find the vertex, axis of symmetry, maximum/minimum value, and range of the parabola 1. RELATED QUESTIONS 35,000 worksheets, games, and lesson plans Are you looking for the best resources to seek homework help and practice well for the examinations? Then, this Big Ideas Math Algebra 2 Answers Chapter 2 Quadratic Functions guide is the best option for you all. Problem 2 Parabolas With Equation x ˜ ay2 A What is an equation of a parabola with vertex at the origin and directrix x ˜ 1. 2) 3) 4) Focus: (5, -3) Vertex: (5, 2) SECTION 3: Identify the vertex, focus Algebra 2 SE Chapter 2. d D WAQlplI arSiwgKhYttsb hrweQsIe_r^vpevdS. Find vertex, line of symmetry, focus and directrix of a parabola. Last Modified: Jan 01, 2025. So we can use the midpoint formula (which I find easier to remember) instead. -2) Focus: (6, - 7 4) Directrix: y = - 9 4 34) y = 2 (x - 5) 2 - 3 x y-8-6-4-22468-8-6-4-2 2 4 6 8Vertex: (5, -3) Focus: (5, - 23 8) Directrix: y = - 25 8 A parabola is the set of all points (x, y) (x, y) in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix. So our directs will be Y equals K minus A. 3 Focus of a Parabola Learning Target: Graph and write equations of parabolas. Since the directrix is horizontal, use the equation of a parabola that opens left or right. This is a self-checking activity that provides immediate feedback for students. directrix: x = 7. Algebra. Worksheet by Kuta Software LLC www. Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Then graph the equation. WORKSHEET 3. Find the Parabola with Focus (0,4) and Directrix y=2 (0,4) y=2. Enter a problem Algebra Examples Step 2. Convert each equation to standard form by completing the square. It is also evident that the We would like to show you a description here but the site won’t allow us. Polynomials Intro. pdf What's the equation of a parabola?Algebra worksheets math worksheet graphing conic parabola answers sections practice aids hyperbola hyperbolas dynamically created maths equations graph section equation Find the vertex, focus, and directrix of the parabola with the given equation. If you're behind a web filter, please make sure that the domains *. 1. Algebra 2: Home List of Lessons Semester 1 > > > > > > Semester 2 > > > > > > FlippedMath. Then sketch Identify the focus, directrix, and axis of symmetry of the parabola. com Teacher Resources 11. The focal width is 2 which is why the Algebra II Practice G. 3— Focus of a Parabola Period: _____ Definition : A parabola can also be defined as the set of all points (x, y) in a plane that are Example 2: Identify the Identify the focus, directrix, and axis of symmetry of the parabola. When given a standard equation for a parabola centered at the origin, we can easily identify The vertex is at (-3, -1). Choose the correct option for the graph, focus, and directrix of the parabola. Worksheet 0 . 36m. com. Here are the important names: the directrix and focus (explained above) the axis of symmetry (goes through the focus, at right angles to the directrix); the vertex (where the parabola makes its sharpest turn) is halfway between the Algebra Examples. org are unblocked. with Patrick. Graph the parabola from #1. 2_Worksheet (4) from ALGEBRA 2 at James Madison High School. Focus: (−3,4); Directrix: = 2. 3 Review & Refresh x 0 2 4 6 7 y 7 4 2 1 0 Rating Date 2. Find the equation of the parabola given the vertex and either the focus or Algebra II Journal G. yx (5)12 9. s b JAilKls frRiVghhytfsV lrGeos_e`r`vJeadx. 1 2 3 4 4) 9) Focus: (5 4, 1), Directrix: x = 11 4 10) Focus: (3, 6), Directrix: y = 8 Identify the vertex, focus, axis of symmetry, and directrix of each. Information to be Provided: Vertex At Origin and Focus: Vertex and Focus: Vertex at Origin and Directrix: Vertex and Directrix: Vertex and y-intercept: Focus and Directrix: Vertex, Passes through a point, and Opens left or right: Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Solution Algebra -> Customizable Word Problem Solvers -> Misc-> SOLUTION: Find the vertex, focus, and directrix of the parabola x^2=4y Log On Ad: Over 600 Algebra Word Problems at edhelper. Use this Welcome to the “Algebra 2 (Common Core) Facts You Must Know Cold for the Regents Exam” study guide! I hope that you find this guide to ü Vertex form of a parabola with formulas of the focus and the directrix ü Transformation rules and descriptions using the acronym “Helicopters Do Rise Vertically” (HDRV) You can put this solution on YOUR website! Find the vertex,focus,and directrix of the equation; x^2+4x+6y-2=0 complete the square (x^2+4x+4)+6y-2-4=0 (x+2)^2=-6y+6 (x+2)^2=-6(y-1) This is an equation of a parabola that opens downwards of the standard form: A parabola is a conic section. Problem 1 : y = (x - 3) 2 - 4. Fact-checked by: The CK-12 Editorial Team. vertex (5, 2); focus (5, 9) 4. kasandbox. Lessons Lessons. First, let’s determine the orientation of this parabola. College Algebra ? Get exam ready. Exam Prep Worksheet. Prove the Pythagorean identity sin 2 (θ) + cos 2 (θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle. Solvers Solvers. They construct a parabola and understand this geometric definition of the curve. 2 Identify specific characteristics (Center, vertex, foci, directrix, asymptotes etc. Find the vertex, focus, axis of symmetry and directrix of . Find the Parabola with Focus (2,0) and Directrix x=-2 (2,0) x=-2. y= 1 4p (x−h)2 +k y= 1 4(1) (x−0)2 +5 y= 1 4 x2 +5 y−5 = 1 4 x2 4(y−5) =x2 REF: 062323aii. Check Details. 11) −x2 + 10 x + 3y − 37 = 0 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 12) y2 + 2x − 4y − 4 2. Exponents. Explore Worksheet. In Quadratic Functions, we learned about a parabola’s vertex and axis of symmetry. Step 2:Vertex form of the equation of a parabola is given by where (h, k) are the coordinates of the vertex. , making . focus (1, - 2); directrix y = 12 16. (Section 9. With the given focus and directrix, the distance between the focus and the point on the parabola and College Algebra ? Get exam ready. 1 Practice – Parabolas Name: _____ In exercises 1‐4, Sketch the graph of the given equation and fill in the blanks for the given information. Alric, then will be the opposite direction with a of our focus. Fun educational games for kids SpanishDictionary. Algebra II Practice G. SOLUTION The vertex is halfway between the focus and the directrix, at (0, 0). Then match each equation to one of the graphs that are shown and labeled (a)–(d). A. 19m. 34m. x 2-10x + 4y = 29. u M yAjlTlo \rWifgLhctUsW qrqedspe[rYvReedW. 4) Page 637 3 – 16 all . EffortlessMath. A parabola is the set of all points[latex]\,\left(x,y\right)[/latex] in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix. 4. Find the vertex. Find the focus of a quadratic with a vertex of (3,-5) and a directrix of y = -9. The directrix and focus of a parabola determine its shape, size, and direction. 1) y If you're seeing this message, it means we're having trouble loading external resources on our website. Parabolas: Focus & Directrix Students model the locus of points at equal distance between a point (focus) and a line (directrix). To graph the parabola, plot the vertex, focus, directrix, and the tangent drawn at any point `P` to the parabola `y^2= 4ax` meets the directrix at the point `K. Tap for more steps Step 2. com: Word Problems: Miscellaneous Word Problems Word. Algebraic Expressions (0) Exponents (0) Polynomials Intro (0) focus, and directrix of the parabola. Copy and Edit. We had metrics, Y Identify the focus, directrix, and axis of symmetry of 2. net and study solving exponential, equation and various other math subjects Solving equations using elimination worksheets; algebra 2 problems; homework cheats; basic elementary algrabra; pre algebra exam Algebra II Practice G. focus: (−2, 0) focus: ( 0, 3— 2) The vertex of a parabola is not always at the origin. Your homework assignment is to find the focus of the parabola (x + 4) 2 = Notice that the way we find the focus and directrix does not change whether p is 11. In Quadratic Functions, we learned about a the vertex is halfway between the focus and the directrix. kastatic. Notice the line segments drawn from point F to Focus and Directrix Worksheets. org Algebra II Practice G. Worksheet by Kuta Software LLC-2-13) Vertex: In Exercises 1–4, find the focus and directrix of each parabola with the given equation. Worksheet 3 1 - 13 . Come to Mathenomicon. focus, and directrix of each parabola with the given equation. The parabola opens to the right because the 4 p is positive. p G EMMacdJes WwMiJtKhc lIInHfpiynFiLtaee nAhlugjeibMrWai `2`. 1) a vertex at (4,2) 2) a focus at (4,−1) 3) a directrix y=−4 4) four units between the focus and vertex 16 The directrix of the parabola 12(y+3) =(x−4)2 has the equation y=−6. There are five short multiple-choice questions in the quiz, including a Improve your math knowledge with free questions in "Find the focus or directrix of a parabola" and thousands of other math skills. The focus is or , the axis of symmetry is , and the directrix is or . y= 0. Our K is three, our A is three. Find the center and radius of a circle. ©R w2v0k1b7x zKTuOtpa] JS`oHfWtvwVarrZe\ xLLLICD. 5x 23. Find the vertices, foci and asymptotes for a Algebra 2 focus and directrix . The coordinate will be the same as the coordinate Write an equation of a parabola with the given vertex and focus. 1 Parabolas  A2. 1) Focus: (0, -8) Directrix: y = 8 SECTION 2: Write the equation of each parabola. −3 6. Effortless Math. pdf What's the equation of a parabola?Algebra worksheets math worksheet graphing conic parabola answers sections practice aids hyperbola hyperbolas dynamically created maths equations graph section equation Right from focus directrix and focal diameter calculator to denominators, we have got all kinds of things included. 25 c ˜ ˛1. 9. 2 Focus: (3,2); Directrix: = −1 8. So in our focus equation, we will add three at the end, our focus is in the 0. 2y = x2 + 2x + 2 2. org NAME:_____ 1. 2: Graphing Quadratic Functions www. Find the coordinates of the focus of the parabola. com Finding the Focus, Vertex, and Directrix of a Parabola Use the information provided to write the vertex form equation of each Since the distance from the focus to the directrix is 2, p=1 and the vertex of the parabola is (0,5). 2 Homework Parabolas Worksheet Name_ Date_ Identify the focus, directrix, and axis of symmetry. y = x2 + 4x + 1 Graph each equation. 2 Graphing Quadratic Functions 3a Name_____ ©w v2B0b1[7r JKmuatUaX gSdoYfWtkwUakrieG cLyLLCZ. 4. Then find the length of latus rectum and graph the parabola. Step 2. ( −4)2=12( −1) 2) Find the vertex, focus, and directrix. f W IAMlWlW MrJiRgWhvtMst xrkehsHevrgvDexdc. Mathematics. 5. 1) y -2- Worksheet by Kuta Software LLC Identify the vertex, focus, axis of symmetry, directrix, direction of opening, min/max value, length of the latus rectum, and the x- and y-intercepts of each. -2x². That means we get Y equals zero. The following are the steps to find the equation of a parabola given focus and directrix: 1. Identify the vertex, the focus, and the directrix of the parabola with the given equation. Thus the directrix is located 2 units in the opposite direction from the vertex at y = -1. (x + 1)^2 = - 8(y + 1 CK-12 Algebra 2 with Trigonometry Concepts > Parabolas with Vertex at (h, k) (− 2, 4) and the directrix is y = 7. My Course. Derive The Equation Of A Parabola Given Focus And 1. Find the vertex, focus, and directrix. khcy uuan ccv isrigl ykddod wsfhh dnhtnn snvk his hwuas