Question
Determine whether the graph of each equation is symmetric with respect to the $y$ -axis, the $x$ -axis, the origin, more than one of these, or none of these.$$y^{5}=x^{4}+2$$
Step 1
To do this, replace $y$ with $-y$ in the equation and simplify. If the resulting equation is identical to the original equation, then the graph is symmetric with respect to the $x$-axis. The original equation is $y^{5}=x^{4}+2$. Replacing $y$ with $-y$ gives Show more…
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