Question

Suppose f (x) = x^3 . Find the graph of f (x - 4)

Answer 1

The graph in the attached figure

Explanation:

we have

`f(x)=x^(3)` ----> parent function

To obtain
`f(x-4)`

The rule of the translation is

(x,y)------> (x+4,y)

That means ---> The translation is 4 units at right

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

using a graphing tool

see the attached figure

therefore

The graph of f(x-4) is the translation of f(x) 4 units at right