Explanation Given: The given quadratic equations is y = − 355 x 2 − 182 x + 1635 . Calculation: To graph a quadratic equation compare the given equation with y = a x 2 + b x + c . Sign of coefficient of x 2 will let you know if the parabola is upward or downward. The change in value of b will change the position of curve in coordinate plane. Keeping the constant value of a and c , the curve follows the path of parabola with the respective change in the value of b only. The value of c in the equation will show intercept on y – axis. The x –coordinates of vertex in an parabolic equation y = a x 2 + b x + c is given by, x = − b 2 a On comparison of the given equation with y = a x 2 + b x + c , the value of a is − 355 , value of b is − 182 and value of c is 1635 . As, c defines the value of intercept at y – axis, So, the intercept on y – axis is at ( 0 , 1635 ) . Calculate the x – coordinate of the vertex, x = − b 2 a = − − 182 2 × − 355 = − 0.256 Substitute value of x to determine coordinate of y at x = − 0.256 , y = − 355 x 2 − 182 x + 1635 = − 355 ( − 0...

Beginning Algebra: Early Graphing (4th Edition)

4th Edition

ISBN: 9780134178974

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Maximization

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 9.4, Problem 33E

To determine

The vertex, intercept on x – axis and intercept on y – axis on parabola for the given equation.

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Chapter 9.4, Problem 32E

Chapter 9.4, Problem 34E

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Chapter 9 Solutions

Beginning Algebra: Early Graphing (4th Edition)

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