Explanation Given information: For a parabola vertex is at point ( − 1 , 2 ) and focus is at point ( − 1 , 3 ) Explanation: The vertex and focus lie on the vertical line x = − 1 . Since the distance from the vertex to the focus is 1 unit then a = 1 . Since ( − 1 , 3 ) is above ( − 1 , 2 ) , the parabola opens up. The equation of the parabola is, ( x − h ) 2 = 4 a ( y − k ) where ( h , k ) is vertex of parabola

Precalculus Plus MyLab Math with eText -- Access Card Package (10th Edition) (Sullivan & Sullivan Precalculus Titles)

10th Edition

ISBN: 9780321978981

Author: Michael Sullivan

Publisher: PEARSON

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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, Problem 8CR

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To obtain the equation of a parabola for which a vertex is at point (−1,2) and focus is at point (−1,3).

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Chapter 12, Problem 7CR

Chapter 12, Problem 9CR

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Chapter 12 Solutions

Precalculus Plus MyLab Math with eText -- Access Card Package (10th Edition) (Sullivan & Sullivan Precalculus Titles)

Ch. 12.1 - For the function f( x )= x1 x , find f( 2 ) and f(...Ch. 12.1 - True or False A function is a relation between two...Ch. 12.1 - Prob. 3AYU Ch. 12.1 - True or False The notation a 5 represents the...Ch. 12.1 - True or False If is am integer, then Ch. 12.1 - The sequence a 1 =5 , a n =3 a n1 is an example of...Ch. 12.1 - The notation a 1 + a 2 + a 3 ++ a n = k=1 n a k...Ch. 12.1 - Prob. 8AYU Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - Prob. 10AYU

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To obtain the equation of a parabola for which a vertex is at point ( − 1 , 2 ) and focus is at point ( − 1 , 3 ) .

Solution Summary: The author explains the equation of a parabola for which the vertex is at point (-1,2) and focus lies on the vertical line.