Test for symmetry with respect to each axis and to the origin. (Select all that apply.) xy^2 = -6 The equation is symmetric with respect to the x-axis. The equation is symmetric with respect to the y-axis. The equation is symmetric with respect to the origin. The equation has no symmetry.
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To test for symmetry with respect to the X-axis, we replace y with -y and see if the equation remains the same. xy = -6 x(-y) = -6 -xy = -6 Since the equation changes when we replace y with -y, it is not symmetric with respect to the X-axis. To test for Show more…
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