Explanation There are a number of ways to write the quadratic equation a x 2 + b x + c . The value of a defines the opening shape of the function. 1. If a function is written in the standard form - a x 2 + b x + c , then the y-intercept is given by c . 2. If a function is written in the factored form - f ( x ) = a ( x - r ) ( x - s ) , then x-intercept is given by r and s . 3. If a function is written in the vertex form - y = a ( x - h ) 2 + k , then coordinates of the vertex are given by ( h , k ) . If the value of a is positive, the minimum value of the function is at k and if the value of a is negative, then the maximum value of the function is at k . Given: Function is given as h ( z ) = − 2 z 2 + 12 z + 3 Formula used: Rewrite the quadratic function in vertex form in order to find the maximum value of the function. Calculation: Function is given as h ( z ) = − 2 z 2 + 12 z + 3 On factoring the leading coefficient – 2 from the first two terms, we get − 2 ( z 2 – 6 z ) + 3 On adding and subtracting 9 inside the parenthesis, we get − 2 ( z 2 –

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ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Chapter 1, Problem 32CRE

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The completion of the square of the given function h(z) = − 2z2+ 12z + 3 and find the maximum value of the function h(z)

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Chapter 1, Problem 31CRE

Chapter 1, Problem 33CRE

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Chapter 1 Solutions

EBK CALCULUS

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The completion of the square of the given function h ( z ) = − 2 z 2 + 12 z + 3 and find the maximum value of the function h ( z )

Solution Summary: The author explains how to write the quadratic equation ax2+bx

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The completion of the square of the given function h(z) = − 2z2+ 12z + 3 and find the maximum value of the function h(z)

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Chapter 1 Solutions