Explanation Given: The equation of parabola, f ( x ) = − 2 x 2 + 8 x − 1 . Formula used: The quadratic function’s standard form is f ( x ) = a x 2 + b x + c . The graph of f is a parabola whose vertex is the point ( h , k ) = ( − b 2 a , f ( − b 2 a ) ) . If a > 0 , the parabola opens upward and if a < 0 then parabola opens downward. Calculation: Now, on comparing with the standard equation of a parabola, we can conclude that, a = − 2 b = 8 c = − 1 Therefore, on comparing with the standard equation, the vertex is: ( h , k ) = ( − b 2 a

Intermediate Algebra for College Students (7th Edition)

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ISBN: 9780134178943

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8.3, Problem 16E

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To calculate: The coordinates of the vertex for the parabola f(x)=−2x2+8x−1.

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Chapter 8.3, Problem 15E

Chapter 8.3, Problem 17E

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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 coordinates of the vertex for the parabola f ( x ) = − 2 x 2 + 8 x − 1 .

Solution Summary: The author calculates the coordinates of the vertex of a parabola, f(x)=-2x 2+8x-1.

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To calculate: The coordinates of the vertex for the parabola f(x)=−2x2+8x−1.

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Chapter 8 Solutions