How are the graphs $f(x)=x^3$ and $g(x)=-(3x)^3$ related?

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Answer 1 · 2018-02-09T05:15:20

Graph of $g(x)$ is the transformation of the graph of $f(x)$

The graph of $f(x)$ is:

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while of $g(x)$ is graphed

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We can see the $g(x)$ is $f(x)$ after a reflection on the $y$ -axis and a horizontal compression by a factor of $1/3$

How are the graphs f(x)=x^3f(x)=x^3 and g(x)=-(3x)^3g(x)=-(3x)^3 related?