Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 12.1, Problem 59E

SKILLS

59-60 ■Families of Parabolas (a) Find equations for the family of parabolas with the given description. (b) Draw the graphs. What do you conclude?

The family of parabolas with vertex at the origin and with directrixes y = 1 2 , y = 1 , y = 4 , and y = 8 .

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Chapter 12.1, Problem 58E

Chapter 12.1, Problem 60E

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Chapter 12 Solutions

Algebra and Trigonometry (MindTap Course List)

Ch. 12.1 - A parabola is the set of all points in the plane...Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Prob. 6E Ch. 12.1 - 5-10 Graphs of Parabolas Match the equation with...Ch. 12.1 - Prob. 8E Ch. 12.1 - 5-10 Graphs of Parabolas Match the equation with...Ch. 12.1 - Prob. 10E

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SKILLS 59-60 ■Families of Parabolas (a) Find equations for the family of parabolas with the given description. (b) Draw the graphs. What do you conclude? The family of parabolas with vertex at the origin and with directrixes y = 1 2 , y = 1 , y = 4 , and y = 8 .

Solution Summary: The author explains the equations for the family of parabolas with vertex at the origin and directrixes.

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Chapter 12 Solutions