Explanation Concept: A) The intercept is the point where curve of a given function intersects the axis of graph. For x- intercept, the curve intersects x -axis and the value of y is zero. For y- intercept, the curve intersects y -axis and the value of x is zero. B) The vertex point ( h , k ) of a given function f ( x ) = a x 2 + b x + c can be given as ( − b 2 a , f ( − b 2 a ) ) , when value of a is nonzero. C) The opening of parabola function f ( x ) = a x 2 + b x + c is upward if a > 0 and downward if a < 0 . Given: The given quadratic function is f ( x ) = − 2 x 2 + 12 x . Calculation: The given quadratic function is, f ( x ) = − 2 x 2 + 12 x + 0 …… (1) The standard quadratic equation is given as f ( x ) = a x 2 + b x + c . On comparing the given function, the value of a , b and c are − 2 , 12 and 0 respectively. As, a < 0 the parabola curve of the given function opens in downward direction. The value of vertex point is, h = − b 2 a …… (2) And k = f ( − b 2 a ) …… (3) Substitute − 2 for a and 12 for b in equation (2). h = − b 2 a h = − ( 12 ) 2 ( − 2 ) h = 3 And substitute 3 for − b 2 a in equation (3)

7th Edition

ISBN: 9780134196176

Author: Elayn Martin-Gay

Publisher: PEARSON

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Question

Chapter 8.6, Problem 39E

To determine

The vertex, intercepts and sketch the graph, whether the curve of graph opens upward or downward.

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Chapter 8.6, Problem 38E

Chapter 8.6, Problem 40E

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Chapter 8 Solutions

Intermediate Algebra (7th Edition)

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 1VRVC

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