Question

How do you graph `y=abs(x+2)`?

Answer 1

In order to graph the function `y=|x+2|` we graph the function `y=|x|` and translate the graph two units the the right

Thus we take the graph of `y=|x|`
graph{|x| [-10, 10, -5, 5]}

And translate two unit to the left for the graph of `y=|x+2|`
graph{|x+2| [-10, 10, -5, 5]}

If you struggle to graph `y=|x|` then we can revert to its definition:

`|x| = { (-x,x lt 0), (0, x=0), (x, x gt 0) :}`