Explanation Given: The graph Approach: From given graph one can find out vertex and the point of intersection with x -axis. Then the standard equation of shifted parabola facing up down can be used ( x − h ) 2 = 4 p ( y − k ) Calculation: We can find the vertex ( h , k ) from the graph and its value is ( 0 , 4 ) , so h = 0 and k = 4 . Now by putting the value of ( h , k ) in the standard equation of shifted parabola facing downward ( x − 0 ) 2 = 4 p ( y − 4 ) x 2 = 4 p ( y − 4 ) Above equation must satisfy the point of intersection of graph with x -axis

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Question

Chapter 12.4, Problem 29E

To determine

To find:

An equation for the conic whose graph is shown.

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Chapter 12.4, Problem 28E

Chapter 12.4, Problem 30E

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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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An equation for the conic whose graph is shown.

To find: An equation for the conic whose graph is shown.

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Chapter 12 Solutions

To find:

An equation for the conic whose graph is shown.