Question

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

Answer 1

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

Explanation:

`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`