Explanation Given information: The simplification is correct by each side of the equation with your graphing utility. Use the given viewing rectangle. The graph should be the same. If they are not, correct the right side of the equation and then use your graphing utility to verify the simplification An equation is given as 8 x 2 = 4 x 2 [0,5,1] by [0,20,1] . Calculations: To solve the given equation 8 x 2 = 4 x 2 by using graphing utility, we separate them into two functions y 1 = 8 x 2 and y 2 = 4 x 2 . To graph the first vertical parabola equation y 1 = 8 x 2 ,we willfind the x -intercept and y -intercept is as follows: ⇒ y 1 = 8 x 2 [The given parabola equation] ⇒ y 1 = 2 ⋅ 4 x 2 [Rewrite, 8 x 2 = 2 ⋅ 4 x 2 ] ⇒ y 1 = 2 x 2 To find the y -intercept,let x = 0 then ⇒ y 1 = 2 x 2 [put x =0 for finding y − int ercept] ⇒ y 1 = 0 Thus,the y -intercept is (0,0) . To find the x -intercept,let x = 0 then ⇒ y 1 = 2 x 2 [put y 1 =0 for finding x − int ercept] ⇒ 0 = 2 x 2 ⇒ x = 0 Thus,the x -intercept is (0,0) . To graph the second vertical parabola equation y 2 = 4 x 2 ,we willfind the x -intercept and y -intercept is as follows: ⇒ y 2 = 4 x 2 [The given parabola equation] To find the y-intercept,let x = 0 then ⇒ y 2 = 4 x 2 [put x =0 for finding y − int ercept] ⇒ y 2 = 0 Thus,the y -intercept is (0,0) . To find the x -intercept,let x = 0 then ⇒ y 2 = 4 x 2 [put y 2 =0 for finding x − int ercept] ⇒ 0 = 4 x 2 ⇒ x = 0 Thus,the x -intercept is (0,0)

Introductory Algebra for College Students (7th Edition)

7th Edition

ISBN: 9780134178059

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8.2, Problem 141ES

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The simplification of the equation by using graphing utility in viewing rectangle.

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Chapter 8.2, Problem 140ES

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Chapter 8 Solutions

Introductory Algebra for College Students (7th Edition)

Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 2CAVC Ch. 8.1 - Prob. 3CAVC Ch. 8.1 - Prob. 4CAVC Ch. 8.1 - Prob. 5CAVC Ch. 8.1 - Prob. 6CAVC Ch. 8.1 - Prob. 7CAVC Ch. 8.1 - Prob. 8CAVC Ch. 8.1 - Prob. 9CAVC Ch. 8.1 - Prob. 10CAVC

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The simplification of the equation by using graphing utility in viewing rectangle.

Solution Summary: The author explains how to simplify the equation by using graphing utility in viewing rectangle. The graph should be the same.

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Chapter 8 Solutions