consider the following function. q(x) = (-6 - x)^3 step 1 of 2: determine the more basic function that has…

consider the following function. q(x) = (-6 - x)^3 step 1 of 2: determine the more basic function that has been shifted, reflected, stretched, or compressed.

consider the following function. q(x) = (-6 - x)^3 step 1 of 2: determine the more basic function that has been shifted, reflected, stretched, or compressed.

Answer

Explanation:

Step1: Recall basic functions

The most basic cubic - function is $y = x^{3}$.

Step2: Analyze the given function

The function $q(x)=(-6 - x)^{3}=-(x + 6)^{3}$ is a transformation of the basic cubic function $y = x^{3}$.

Answer:

$y = x^{3}$