How do you determine whether the graph of $| y | = 2 x^{2}$ $absy=2x^2$ is symmetric with respect to the x axis, y axis or neither?

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Answer 1 · 2018-07-19T14:31:19

$2 x^{2}$ $2x^2$ $\geq$ $>=$ 0 thus y=f(x) $\geq$ $>=$ 0

f(-x)=2* ${(- x)}^{2}$ $(-x)^2$ = $2 x^{2}$ $2x^2$ =f(x)

thus the graph is symmetric with respect to the y axis

How do you determine whether the graph of absy=2x^2|y|=2x2absy=2x^2 is symmetric with respect to the x axis, y axis or neither?