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

1 Answer
Jul 15, 2018

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]}