Question

What is the parent function for f(x)=(x-4)3 a. F(x)=x b. F(x)=x c.f(x)=x3 d. F(x)=x

Answer 1

Answer:

Option C. f(x) = x³

Explanations:

The given function is:

`f(x)=(x-4)^3`

Note that when you have a family of functions, the parent function will be the simplest form of the function that will not allow the shape of that function to be distorted on the graph.

The function given in this exercise is a cubic function, and the parent function is x³. ( x - 4)³ is only gotten from x³ by the translation of the x and y axis.

The parent function is therefore, f(x) = x³