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Your Notes Example 1 Graph an equation of a parabola Graph x 5 1 } 2 y 2 . Identify the focus, directrix, and axis of symmetry. 1. Rewrite the equation in standard form. x 5 1 } y 2 2 Write original equation. 2x 5 y2 Multiply each side by 2 . 2. Identify the focus, directrix, and axis of symmetry. The equation has the form y2 5 4px where p 5 1 } . The 2 focus is (p, 0), or 1 1 } , 0 2 2 . The directrix is x 5 2p, or x 5 2 1 } . Because y is squared, the axis of symmetry 2 is the x-axis . y 3. Draw the parabola by making a table of values and plotting points. Because p > 0, the parabola opens to the right . So, use only positive x-values. (0, 0) x 5 − 1 2 1 1 2 , 0 1 ( ) x 1 2 3 4 5 y 61.41 62 62.45 62.83 63.16 Checkpoint Complete the following exercise. 1. Graph y 5 2 1 } x 4 2 . Identify the focus, directrix, and axis of symmetry. focus: (0, 21); directrix: y 5 1; axis of symmetry: y-axis, x 5 0 (0, −1) y y 5 1 1 (0, 0) 236 Lesson 9.2 Algebra 2 Notetaking Guide Copyright © Holt McDougal. All rights reserved. 1 x x
Your Notes Homework Example 2 Write an equation of a parabola Write an equation of the parabola shown. (0, 0) 1 y Directrix 1 Copyright © Holt McDougal. All rights reserved. Lesson 9.2 Algebra 2 Notetaking Guide 237 x Solution The graph shows that the vertex is and the directrix is y 5 2p 5 . Substitute for p in the standard form of the equation of a parabola. Standard form, axis of symmetry Substitute for p. Simplify. Checkpoint Complete the following exercise. 2. Write the standard form of the equation of the parabola with vertex at (0, 0) and the directrix x 5 2 3 } . 4
Page 1 and 2: Your Notes 9.1 Apply the Distance a
Page 3 and 4: Your Notes Checkpoint Complete the
Page 5 and 6: Your Notes Homework Example 4 Find
Page 7 and 8: Your Notes 9.2 Graph and Write Equa
Page 9: Your Notes Example 1 Graph an equat
Page 15 and 16: Your Notes Checkpoint Graph the equ
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Page 21 and 22: Your Notes Example 1 Graph an equat
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Page 27 and 28: Your Notes Example 1 Graph an equat
Page 29 and 30: Your Notes Example 2 Write an equat
Page 31 and 32: Your Notes Homework Example 3 Solve
Page 33 and 34: Your Notes 9.6 Translate and Classi
Page 35 and 36: Your Notes Example 1 Graph the equa
Page 37 and 38: Your Notes Write an equation of the
Page 39 and 40: Your Notes Example 4 Write an equat
Page 41 and 42: Your Notes Homework CLASSIFYING CON
Page 43 and 44: Your Notes 9.7 Solve Quadratic Syst
Page 45 and 46: Your Notes Example 2 Solve a linear
Page 47 and 48: Your Notes Example 3 Solve a quadra
Page 49 and 50: Your Notes Homework Example 4 Solve
Page 51 and 52: Focus On Graphing Use after Lesson
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Page 55 and 56: Words to Review Give an example of
Page 57 and 58: Co-vertices Hyperbola 2 Conic secti

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