How do you graph #y = | x + 3| -2#?

Question

1515 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-22T21:34:06

graph{|x+3|-2 [-10, 10, -5, 5]}

#y#-intercept:

#x = 0#

#|x+3| = 0+3#
#= 3#

#|x+3|-2=3-2=1#

#y#-intercept: #1#

#x#-intercept:

#y=0#

#|x+3|-2 = 0#

#|x+3|=2#

#x+3 = 2 or -2#

#x#-intercept: #-1 or -5#

the axis of symmetry on the graph is the vertical line #x = -3#.