Question

Graph y = |x – 1| – 1

Answer 1

There are two parts to this graph:
y = x - 1 -1 = x - 2, with slope 1 and
y = -(x-1) - 1 = -x
The inflexion point is x = 1.

Answer 2

best graph is...

Answer 3

In, y = |x – 1| – 1 ... three cases arise

when x – 1 = 0 [i.e. when x = 1] , y = -1

when x – 1 > 0 [i.e. when x >1] , y = x -2

when x – 1 <0 [i.e. when x <1], y = -x

Now, mark the lines/points for each of three cases and the graph is: