Explanation Given Information: The quadratic equation y = 2 x 2 − 3 x − 2 . Graph: Consider the equation, y = 2 x 2 − 3 x − 2 To graph the parabola given by the equation y = 2 x 2 − 3 x − 2 , first find the coordinate of its vertex. Compare the given equation y = 2 x 2 − 3 x − 2 with y = a x 2 + b x + c . a = 2 , b = − 3 , c = − 2 To find the x coordinate, find the value − b 2 a . x = − b 2 a = − ( − 3 ) 2 ( 2 ) = 3 4 = 0.75 To find the y coordinate, substitute x = 0.75 in the equation y = 2 x 2 − 3 x − 2 . y = 2 x 2 − 3 x − 2 y = 2 ( 0.75 ) 2 − 3 ( 0.75 ) − 2 ≈ − 3.1 So the vertex is ( 0.75 , − 3.1 ) . Find some more points. Substitute x = − 1 in the equation y = 2 x 2 − 3 x − 2 . y = 2 x 2 − 3 x − 2 y = 2 ( − 1 ) 2 − 3 ( − 1 ) − 2 = 2 + 3 − 2 = 3 Substitute x = 1 in the equation y = 2 x 2 − 3 x − 2

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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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 12, Problem 23CR

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To graph: The equation y=2x2−3x−2 and label the vertex.

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Chapter 12, Problem 22CR

Chapter 12, Problem 24CR

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Chapter 12 Solutions

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To graph: The equation y = 2 x 2 − 3 x − 2 and label the vertex.

Solution Summary: The author explains how to graph the quadratic equation y=2x 2-3x-2 and label the vertex.

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To graph: The equation y=2x2−3x−2 and label the vertex.

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