The graph of $f ( x ) = ( - x ) ^ { 2 }$ is the graph of $f ( x ) = x ^ { 2 }$ reflected across the y axis.

Name: The graph of $f ( x ) = ( - x ) ^ { 2 }$ is the graph of $f ( x ) = x ^ { 2 }$ reflected across the y axis.
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The function $f(x)=-x^2$ is a reflection of the function $f(x)=x^2$ across the y-axis because when you substitute -x for x in $f(x)=x^2$, you get $f(-x)=(-x)^2=x^2$. Therefore, the graphs of $y=f(x)$ and $y=f(-x)$ are reflections of each other across the y-axis.

The Graph Of f(x)=(−x)2f ( x ) = ( - x ) ^ { 2 }f(x)=(−x)2

The Graph Of $f ( x ) = ( - x ) ^ { 2 }$