How do you graph #f(x) =abs(x+2)+3#?

1 Answer
Aug 17, 2015

Answer:

With absolutes you usually make two graphs.

Explanation:

(1)
When #x>=-2->x+2>=0# so the absolute bars don't have to come into action, and the equation simplifies to:
#f(x)=x+2+3=x+5#

(2)
When #x<-2->x+2<0# and the bars flip the sign into
#f(x)=-(x+2)+3=-x+1#

These two graphs meet at #(-2,3)#
graph{|x+2|+3 [-16.35, 15.68, -1.93, 14.09]}