Question

How are the graphs `f(x)=absx` and `g(x)=abs(x+4)` related?

Answer 1

The only difference between the graphs of `f(x)` and `g(x)` is that `g(x)` is `f(x)` translated left 4 units.

Explanation:

`f(x) = |x|` is graphed below
graph{|x| [-9.75, 10.25, -2.08, 7.92]}

`g(x) = |x+4|` is graphed below
graph{|x+4| [-9.75, 10.25, -2.08, 7.92]}

As you can see, they are the same graph, but `g(x)` is `f(x)` shifted 4 units left.