Question

which of the following answer choices describes all the transformation found in the cubic function f(x)=-(x+2)3-5

Answer 1

The cubic function is f(x) = x^3

You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.

Those transfformations are:

1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3

2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3

3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5