How do you identify the transformation of $h(x)=-1/3x^3$ ?

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Answer 1 · 2018-02-19T12:12:54

$h(x)$ is the standard function $f(x) =x^3$ reflected about the $x-$ axis and scaled by $1/3$

$h(x) =-1/3x^3$

Consider the "parent" function $f(x) =x^3$ represented graphically below.

graph{x^3 [-10, 10, -5, 5]}

Then, $h(x) = -1/3xxf(x)$ is represented graphically below.

graph{-1/3x^3 [-10, 10, -5, 5]}

Hence, we can observe that $h(x)$ is the standard function $f(x) =x^3$ rflected about the $x-$ axis and scaled by $1/3$

How do you identify the transformation of h(x)=-1/3x^3h(x)=-1/3x^3?