Question

How to sketch y =|x+1| -1. Please, help

Answer 1

First you have y=x,

Answer 2

Then y=(x+1) which shifts the graph left

Answer 3

Then we have y=(x+1)-1, that -1 shifts the graph down by 1,

Answer 4

Then we have modulus at that point,

Answer 5

you mean I have to go on that way, not solving for |x+1| and have a system y = x if x > -1 and = -x -2 if x<-1 and then combine them ?

Answer 6

anyway, yours is perfect way to do. I got the right graph from yours.

Answer 7

From here, y=(x+1) we equate (x+1)=0, so, x=-1, and moves to the left

Answer 8

I got it. thanks a lot. Never think about that way.

Answer 9

Welcome :)