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Okay, thanks for the graph. but how do you test for symmetry?

I don't understand can you like show me an exapmle

y = x^2
Substitute -x
y = (-x)^2 = (-1)^2 * (x^2) = x^2
EXACTLY the same. Symmetry about the y-axis.

what about the x azis?

then how to test about the origin?

if you negate the input, does it produce a negated output?

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