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

1 Answer
Jul 15, 2018

Answer:

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]}