College Algebra
College Algebra
1st Edition
ISBN: 9780078035630
Author: Julie Miller
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 7.3, Problem 45PE

For Exercises 35–44, an equation of a parabola ( x − h ) 2 = 4 p ( y − k )

or ( y − k ) 2 = 4 p ( x − h )

is given.

a. Identify the vertex, value of p, focus, and focal diameter of the parabola.

b. Identify the endpoints of the latus rectum.

c. Graph the parabola.

d. Write equations for the directrix and axis of symmetry. (See Example 4)

( x + 3 ) 2 = 2 ( y − 3 2 )

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For Exercises 27–34, an equation of a parabola x = 4py or y = 4px is given. a. Identify the vertex, value of p, focus, and focal diameter of the parabola. b. Identify the endpoints of the latus rectum. c. Graph the parabola. d. Write equations for the directrix and axis of symmetry. (See Examples 2-3) 27. x -4y 28. x -20y 29. 10y = 80x 30. 3y = 12x 31. 4x 40y 32. 2x 14y 33. y = 34. y = -2x = -X %3D
For Exercises 67–70, identify the equation as representing an ellipse or a hyperbola, and match the equation with the graph. (x – 5)² 67. (y + 2)² = 1 (x – 5)? 68. (y + 2)? = 1 49 36 36 49 (x - 5)? 69. (y + 2)² = 1 (y + 2)² = 1 (x - 5)? 49 36 70. 49 36 А. В. С. D. 15 12 41 6 -6-4-2 4 6 8 10 12 14 4 6 8 10 12 14 -6 -4 2. 4 6 8 10l 12 14 -6 1k 15 18 21 -6
1. A parabola has equation - 12x + y² – 24 = 0. Write the equation in standard form.

Chapter 7 Solutions

College Algebra

Ch. 7.1 - Skill Practice 1. Graph the ellipse, and identify...Ch. 7.1 - Prob. 2SPCh. 7.1 - Prob. 3SPCh. 7.1 - Prob. 4SPCh. 7.1 - Prob. 5SPCh. 7.1 - Prob. 6SPCh. 7.1 - Prob. 1PECh. 7.1 - Prob. 2PECh. 7.1 - Prob. 3PECh. 7.1 - Prob. 4PE
Ch. 7.1 - Prob. 5PECh. 7.1 - Prob. 6PECh. 7.1 - 1. The circle, the ellipse, the hyperbola, and the...Ch. 7.1 - Prob. 8PECh. 7.1 - Prob. 9PECh. 7.1 - Prob. 10PECh. 7.1 - Prob. 11PECh. 7.1 - Prob. 12PECh. 7.1 - Prob. 13PECh. 7.1 - Prob. 14PECh. 7.1 - Given x2a2+y2b2=1,whereab0, the ordered pairs...Ch. 7.1 - Prob. 16PECh. 7.1 - Prob. 17PECh. 7.1 - Prob. 18PECh. 7.1 - Prob. 19PECh. 7.1 - Prob. 20PECh. 7.1 - For Exercises 1112, from the equation of the...Ch. 7.1 - Prob. 22PECh. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - Prob. 24PECh. 7.1 - For Exercises 13–22, a. Identify the center of...Ch. 7.1 - Prob. 26PECh. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 13–22, a. Identify the center of...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 13–22, a. 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