Question

The graph of g(x) results when the graph of f(x) = |x| is shifted 4 units to the right, what is the equation of g(x)?

Answer 1

`g(x)=abs(x-4)`

Explanation:

Here's what `f(x)=abs(x)` looks like:

graph{abs(x) [-10, 10, -5, 5]}

If `g(x)` is `f(x)` shifted 4 units to the right. Then:

`g(x)=abs(x-4)`

Let's check our answer.

graph{abs(x-4) [-10, 10, -5, 5]}

As a side note, if the question was `g(x)` was shifted 4 units up, then:

`g(x)=abs(x)+4`

graph{abs(x)+4 [-10, 10, -5, 5]}