Explanation Given: Shape of the parabola is f ( x ) = 3 x 2 or g ( x ) = − 3 x 2 . The maximum is − 7 at x = 5 . Formula used: The quadratic function’s standard form is given by: f ( x ) = a ( x − h ) 2 + k . Calculation: Using the steps given below, we determine the standard form of a parabola. Step 1: The quadratic function’s standard form is f ( x ) = a ( x − h ) 2 + k . The graph of f is a parabola whose vertex is the point ( h , k ) . Since the parabola is maximum at − 7 , so it must be downward. If a < 0 , then the parabola opens downward, therefore, is the maximum

Intermediate Algebra for College Students (7th Edition)

7th Edition

ISBN: 9780134178943

Author: Robert F. Blitzer

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 8.3, Problem 54E

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To calculate: The equation of a parabola that has the same shape as the graph of f(x)=3x2 or g(x)=−3x2 with the maximum −7 at x=5.

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Chapter 8.3, Problem 53E

Chapter 8.3, Problem 55E

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Chapter 8 Solutions

Intermediate Algebra for College Students (7th Edition)

Ch. 8.1 - Check Point 1 Solve: . Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 10CP

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The equation of a parabola that has the same shape as the graph of f ( x ) = 3 x 2 or g ( x ) = − 3 x 2 with the maximum − 7 at x = 5 .

Solution Summary: The author calculates the standard form of a parabola using the steps given below.

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To calculate: The equation of a parabola that has the same shape as the graph of f(x)=3x2 or g(x)=−3x2 with the maximum −7 at x=5.

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Chapter 8 Solutions