Question

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

Answer 1

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]}