Question

Test the equation for symmetry. (Select all that apply.) $x = 7y^4 - 9y^2$ The graph is symmetric with respect to the x-axis. The graph is symmetric with respect to the y-axis. The graph is symmetric with respect to the origin.

          Test the equation for symmetry. (Select all that apply.)
$x = 7y^4 - 9y^2$
The graph is symmetric with respect to the x-axis.
The graph is symmetric with respect to the y-axis.
The graph is symmetric with respect to the origin.
        
Test the equation for symmetry. (Select all that apply.)
x = 7y^4 - 9y^2
The graph is symmetric with respect to the x-axis.
The graph is symmetric with respect to the y-axis.
The graph is symmetric with respect to the origin.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Test the equation for symmetry. (Select all that apply.) x=7y^(4)-9y^(2) The graph is symmetric with respect to the x-axis. The graph is symmetric with respect to the y-axis. The graph is symmetric with respect to the origin. Test the eguation for symmetry.(Select all that apply. x=7y4-9y2 The graph is symmetric with respect to the x-axis The graph is symmetric with respect to the y-axis. The graph is symmetric with respect to the origin
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Transcript

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00:01 So, we have been given x to the power 6 multiplied by y to the power 6 plus x to the power 2 multiplied by y to the power 2 is equal to 6.
00:10 So, we'll substitute minus y for y.
00:17 Now we'll be left with x to the power 6 minus y to the power 6 plus x to the power 2 minus y to the power 2 is equal to 6.
00:29 So, graph is symmetric with respect to x -axis.
00:33 Graph is symmetric with respect to x -axis because x to the power 6 multiplied by y to the power 6 plus x to the power 2 multiplied by y to the power 2 is equal to 6.
00:57 So now we'll substitute minus x for x.
01:05 So minus x to the power 6 y to the power 6 plus minus x to the power 2 y to the power 2 is equal to 6...
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