Testing for Symmetry...1

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Question 34

x - y^2 = 0

Let y = -y.

x - (-y)^2 = 0

x - y^2 = 0

Symmetric with respect to the x-axis.

Let x = -x

-x - y^2 = 0

Not symmetric with respect to the y-axis.

Let x = -x and y = -y

-x - (-y)^2 = 0

-x - y^2 = 0

Not symmetric with respect to the origin.
 

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