How are the graphs $f(x)=x^3$ and $g(x)=(x+2)^3-5$ related?

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How are the graphs $f(x)=x^3$ and $g(x)=(x+2)^3-5$ related?

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Answer 1 · 2017-02-11T00:56:07

The function $f(x) = x^3$ is the parent function of $g(x)$ .
The graph below is $g(x)$ .
graph{(x+2)^3 -5 [-8, 8, -15, 15]}

Explanation:

The function $f(x)$ would have the curve positioned at the origin. The function $g(x)$ has been shifted horizontally to the left by $2$ and shifted vertically down by $5$ .

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How are the graphs $f(x)=x^3$ and $g(x)=(x+2)^3-5$ related?

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Science

Math

Humanities

... and beyond

How are the graphs f(x)=x^3f(x)=x^3 and g(x)=(x+2)^3-5g(x)=(x+2)^3-5 related?

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Explanation:

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How are the graphs $f(x)=x^3$ and $g(x)=(x+2)^3-5$ related?