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

10th Edition

ISBN: 9780321979070

Author: Michael Sullivan

Publisher: PEARSON

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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

To determine

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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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.