Question

How do you graph `y =abs( x + 5)+ 6`?

Answer 1

Below

Explanation:

`y=absx` is an absolute value graph with the vertex at `(0,0)`
graph{absx [-10, 10, -5, 5]}

`y=abs(x+5)` is the same as `y=absx` but shifted to the left by `5` units so the vertex is `(-5,0)`
graph{abs(x+5) [-10, 10, -5, 5]}

`y=abs(x+5)+6` is the `y=abs(x+5)` graph shifted up by `6` units so the vertex is `(-5,6)`
graph{abs(x+5)+6 [-36.53, 36.52, -18.27, 18.26]}