Explanation Given : The given equation of the parabola is s ( x ) = − 5 7 ( x − 1 ) 2 − 1 7 . Key-concept used : We’ll use completing square method to express the given equation in f ( x ) = a ( x − h ) 2 + k , where a ≠ 0 & ( h , k ) is the vertex of the parabola. If a > 0 , the parabola is concave upward and so the vertex is minimum and the minimum value is y 1 and if a < 0 , the parabola is concave downward and so the vertex is maximum and the maximum value is y 1 . Calculation : The given equation of the parabola is s ( x ) = − 5 7 ( x − 1 ) 2 − 1 7

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ISBN: 9781264055869

Author: Miller

Publisher: MCG CUSTOM

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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 7, Problem 66RE

To determine

the co-ordinates of the vertex of the parabola and find if the vertex is a maximum point or a minimum point and then write the maximum or minimum value.

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Chapter 7, Problem 65RE

Chapter 7, Problem 67RE

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