How do you graph absolute value equations on a coordinate plane?

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Mar 19, 2015

Let's start with a simple one #y=|x+2|#

If #x> -2#, #x+2# is positive, so #y=|x+2|=x+2#
If #x<-2#, #x+2# is negative, but will be 'turned around' by the abslote signs, so in this domain #y=|x+2|=-x-2#

These two semi-graphs meet at #(-2,0)#
graph{|x+2| [-10.5, 9.5, -1.08, 8.915]}

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