Explanation Given information: The equation y = 3 x x 2 + 9 Explanation: The intercepts of an equation obtained by using the fact that the points on the x -axis have y -coordinates equal to 0 , and point on the y -axis have x -coordinates equal to 0 To find x -intercept(s), let y = 0 ⇒ 0 = 3 x x 2 + 9 ⇒ 3 x = 0 ⇒ x = 0 Therefore, the x -intercept is ( 0 , 0 ) To find y -intercept(s), let x = 0 . ⇒ y = 3 x x 2 + 9 ⇒ y = 3 ( 0 ) 0 + 9 ⇒ y = 0 . The y -intercept is ( 0 , 0 ) To test for symmetry with respect to x -axis, replace y by − y . If the results’ equivalent to the original equation, then the equation is symmetric with respect to x -axis. − y = 3 x x 2 + 9 is not equivalent to the equation y = 3 x x 2 + 9 Hence, the graph of the equation y = 3 x x 2 + 9 is not symmetric with respect to x -axis

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ISBN: 8220101460912

Author: Sullivan

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Chapter 1.2, Problem 69AYU

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The intercepts and test the symmetry for the equation y=3xx2+9

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Chapter 1.2, Problem 68AYU

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The intercepts and test the symmetry for the equation y = 3 x x 2 + 9

Solution Summary: The author explains that the graph of the equation y=3xx+9 is symmetric with respect to the origin.

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The intercepts and test the symmetry for the equation y=3xx2+9

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