Answer:
C. y = |x| - 1
Step-by-step explanation:
y = |x| Is the same graph, but with the vertex on point (0,0)
y = |x+1| Moves graph to the left 1
y = |x| + 1 Moves the graph up 1
y = |x| - 1 moves the graph down 1
y = |x-1| moves the graph right one
Therefore, y = |x| - 1 is the answer.
To further explain it, you can write down a table of values for proof. For y = |x| when x = 0, y = 0. When x = 1, y = 1 and so on. When x = -1, y = 1 and so on in that direction.
If we look at the choices and plug in numbers, we get for A when x = 0, y = 1, which if we look at the graph given does not fit.
For B, when x = 0, we get y = 1, which again does not work.
For C, when x = 0, y = -1, which is the answer we need, but to make sure, I am going to do D.
For D, when x = 0, y = 1. Therefore, C is the only possible answer.
