Explanation Formula used: Standard form the parabola y = a x 2 + b x + c is given by, y = ( x − b 2 a ) 2 + c − b 2 4 a 2 Given: The given equation of parabola is, y = 2 x 2 + 3 x + 1 The given equation of parabola is, y = 2 x 2 + 3 x + 1 ⋅ ⋅ ⋅ ( 1 ) Simplify the equation to obtain the standard form of a parabola. y = 2 x 2 + 3 x + 1 y = 2 ( x 2 + 3 2 x + 9 16 ) − 9 8 + 1 y = 2 ( x + 3 4 ) 2 − 1 8 ⋅ ⋅ ⋅ ( 2 ) Substitute 0 for x in equation ( 2 ) to obtain the y intercept

10th Edition

ISBN: 9781285195728

Author: Jerome E. Kaufmann, Karen L. Schwitters

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 8.2, Problem 18PS

To determine

To plot:

The graph of the given parabola.

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Chapter 8.2, Problem 17PS

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Chapter 8 Solutions

Intermediate Algebra

Ch. 8.1 - For Problems 110, answer true or false. The graph...Ch. 8.1 - Prob. 2CQ Ch. 8.1 - Prob. 3CQ Ch. 8.1 - Prob. 4CQ Ch. 8.1 - Prob. 5CQ Ch. 8.1 - Prob. 6CQ Ch. 8.1 - Prob. 7CQ Ch. 8.1 - Prob. 8CQ Ch. 8.1 - Prob. 9CQ Ch. 8.1 - Prob. 10CQ

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To plot: The graph of the given parabola.

Solution Summary: The author explains the formula used to obtain the standard form of a parabola.