Question

How do you graph `y= -3* abs(x+1)+4`?

Answer 1

Actually there are two graphs to be made

Explanation:

(1) `x>=-1->x+1>=0`:
`=-3(x+1)+4=-3x+1`

(2) `x<-1->x+1<0` but the absolute turns it around:
`=-3*(-(x+1))+4=3(x+1)+4=3x+7`

They meet at `(-1,4)`
graph{-3|x+1|+4 [-10, 10, -5, 5]}