10.2 parabolas worksheet answers
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Parabolas Worksheet
-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 |
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DIRECTIONS: Find an equation of the parabola described You
ALGEBRA II Worksheet 10 2B- Equations of Parabolas Page 6 BowerPower net DIRECTIONS: For each parabola find the vertex focus directrix axis of symmetry and direction the parabola opens (up down left or right) You may need to use completing the square to get the equations into vertex form You will want to sketch graphs of the parabolas |
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Graphing and Properties of Parabolas
Kuta Software - Infinite Algebra 2 Name_____ Graphing and Properties of Parabolas Date_____ Period____ Identify the vertex axis of symmetry and direction of opening of each 1) y = 2(x + 10)2 + 1 2) y = − 1 3 (x − 7)2 + 1 3) y = − 1 3 x2 + 16 3 x − 46 3 4) y = 2x2 + 36 x + 166 5) y = x2 + 4x − 5 6) y = 2x2 + 8x + 16 |
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102 Introduction to Conics: Parabolas
10 2 Introduction to Conics: Parabolas What you should learn Recognize a conic as the intersection of a plane and a double-napped cone Write equations of parabolas in standard form and graph parabolas Use the reflective property of parabolas to solve real-life problems Why you should learn it |
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Properties of Parabolas
Properties of Parabolas Date_____ Period____ Identify the vertex of each 1) y = x2 + 16 x + 64 (−8 0) 2) y = 2x2 − 4x − 2 (1 −4) 3) y = −x2 + 18 x − 75 (9 6) 4) y = −3x2 + 12 x − 10 (2 2) Graph each equation 5) y = x2 − 2x − 3 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 6) y = −x2 − 6x − 10 x y |
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Created Date: 1/8/2018 10:22:02 AM |
How do you find the focus of a parabola?
1 2. To find the focus, convert to standard form by completing the square. Write original equation. Multiply each side by –2. Add 1 to each side. Complete the square. Combine like terms. 2. Because p is negative, the parabola opens downward, as shown in Figure 10.13. So, the focus of the parabola is h, k p 2 . Now try Exercise 21.
How do you use parabolas to solve real-life problems?
Write equations of parabolas in standard form and graph parabolas. Use the reflective property of parabolas to solve real-life problems. Parabolas can be used to model and solve many types of real-life problems. For instance, in Exercise 62 on page 742, a parabola is used to model the cables of the Golden Gate Bridge.
What is the standard form of a parabola?
Using the definition of a parabola, you can derive the following standard form of the equation of a parabola whose directrix is parallel to the x -axis or to the y -axis. The standard form of the equation of a parabola with vertex at h, k is as follows. The focus lies on the axis p units (directed distance) from the vertex.
What is the axis of a parabola?
fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the directrix is called the vertex, and the line passing through the focus and the vertex is called the axis of the parabola. Note in Figure 10.10 that a parabola is symmetric with respect to its axis.
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WORKSHEET 10.2 PARABOLAS. Name: Date: Write the equation of each parabola in standard form. Sketch the graph. Label the vertex focus |
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10.2 Graphing Parabolas - HMWK
Worksheet by Kuta Software LLC. Algebra 2. - HMWK. ID: 2 Worksheet by Kuta Software LLC. -3-. Answers to 10.2 Graphing Parabolas (ID: 2). |
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Introduction to Conics: Parabolas
0. 250. 400. 500. 1000. 333202_1002.qxd 12/8/05 9:00 AM Page 742. Page 9. Section 10.2. Introduction to Conics: Parabolas. 743. 67. Round your answers to two ... |
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Notes 2: 10.2 Parabolas. 3. Practice/HW. Don't let the silly little things steal your happiness! :) Objective/Learning Target: - write and graph equations of |
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Precalculus Student Solution Manual
Answers will vary. Sample proof: cos2 x − tan2 x = 1 − sin2 x −. ⎛. ⎝sec2 10.2. (x − 1)2. 16. +. ⎛. ⎝y − 3⎞. ⎠. 2. 4. = 1. 10.3. center: (0 0); ... |
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Kuta Software - Infinite Precalculus - Parabolas
Identify the vertex focus |
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Exercises and Problems in Calculus John M. Erdman
10.2. Exercises. 60. 10.3. Problems. 65. 10.4. Answers to Odd-Numbered Exercises. 66 ... Answers to Odd-Numbered Exercises. (1) hyperboloid of one sheet 12 |
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Worked Examples from Introductory Physics (Algebra–Based) Vol. I
Oct 3 2012 10.2 Worked Examples . ... possible answers for x which you can find from the quadratic formula: x = −b ±. √b2 − 4ac. 2a. (1.2). On occasion ... |
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10.2 10.3
in a very |
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Worksheets - 10.2 Quadratic equations puzzle
Solve the quadratic equations and match them with the answers. The answer letters Complete the table below then graph the parabolas neatly in your workbook. |
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10.2 Graphing Parabolas - HMWK
U m dMJaKdbeZ 0wLiNtdhW hIyn6f6iMnOittek RA1l3g9ejber1aw h2G.Y. Worksheet by Kuta Software LLC. -3-. Answers to 10.2 Graphing Parabolas (ID: 2). |
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DIRECTIONS: Find an equation of the parabola described. You may
1. Focus: Directrix: Page 2. ALGEBRA II. Worksheet 10.2B- Equations of Parabolas. |
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PRECALCULUS - Practicin with Parabolas! And Ellipses!
1 Feb 2014 S 8 OMha5dmer NwGiStvh6 aIrn0fWiZnDiAt3e5 6AhlJgcepbwrzaM X2l.w. Worksheet by Kuta Software LLC. Answers to Practicin' with Parabolas! |
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Parabolas
Worksheet by Kuta Software LLC Use the information provided to write the transformational form equation of each parabola. 9) Vertex: (-1 -3) |
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Introduction to Conics: Parabolas
Introduction to Conics: Parabolas. Cosmo Condina/Getty Images. 10.2 Answer: 3. Find an equation of the tangent line to the parabola at the point. |
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10.1-10.2 Practice Worksheet. Name. Directions; Answer the following questions. 10.1-10.2 Practice Worksheet. Benchmarks: B.8- Solve quadratic functions ... |
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Infinite Algebra 2 - Graphs of Parabolas - Vertex Form
k e JMYawdMeS ewHigtjhe BIRnkfMipnhiBtOeI tAalPgKeUbbrJaF H2P. Worksheet by Kuta Software LLC. -3-. Answers to Graphs of Parabolas - Vertex Form (ID: 1). |
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Practice
The focus and directrix define the parabola. Answers may vary. The equation for a horizontal parabola should be in the form x ay2 while the equation for a |
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Activity 10 Writing Quadratic Equations 153
Lesson 10-1 Parabolas and Quadratic Equations. Learning Targets: Write the equation of a parabola given a graph and key features. |
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Vertex Form of Parabolas.pdf
Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 2 Use the information provided to write the vertex form equation of each parabola. |
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Practice
equation Then sketch the graph of the parabola 7 y = 1 12 x2 8 x = - 1 4 y2 9 y = 1 2 (x - 1)2 10 x = - 1 4 (y + 1)2 + 2 Write an equation of a parabola with vertex at the origin and the given directrix 11 directrix x = Answers may vary |
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Practice
The focus and directrix define the parabola Answers may vary The equation for a horizontal parabola should be in the form x 5 ay 2 while the equation |
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102 B Parabolas
Worksheet by Kuta Software LLC Identify the vertex, focus, axis of symmetry, and directrix of each 5) y = −x 2 − 6x − Answers to 10 2 B Parabolas (ID: 1) |
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Practice Quiz Solutionspdf
Parabolas Write each equation in standard form 1 y = x2 + 2x + 2 2 y = x2 – 2x + 4 y = [x - (-1)]2 + 1 y= (x - 1)2 + 3 7 (-1,5/2] [6/6-'£-] it [ɛ/1-) € Answers: ------ |
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Parabolas WS D1 SOLUTION KEYpdf
Parabolas HW Worksheet Name Pre-Calculus Day 1 Focus (4,0) Focus (-2,0 ) Directrix X=-4 Directrix X=2 Axis of Symmetry yo Axis of Symmetry Y=0 |
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102 Parabola HW WS_KEYpdf
WORKSHEET 10 2 PARABOLAS Date: Block: Write the equation of each parabola in standard form Sketch the graph Label the vertex, focus, directrix, and axis |
