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

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

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Answer 1 · 2018-02-09T05:15:20

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

Explanation:

The graph of $f (x)$ $f(x)$ is:

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while of $g (x)$ $g(x)$ is graphed

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

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

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

How are the graphs f(x)=x3f(x)=x^3 and g(x)=−(3x)3g(x)=-(3x)^3 related?

1 Answer

Explanation:

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Impact of this question

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