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

1 Answer
Feb 19, 2018

Answer:

#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#