Answer: y = |x - 1| - 1
Explanation:
We will use this form of absolute value equations. a is the slope, which is 1. h is the horizontal shift and k is the vertical shift.
y = a|x - h| + k
First, we see this graph is shifted one unit down from the parent function (absolute value). We will subtract 1 from the parent function.
y = |x| - 1
Next, we see it is shifted one unit right from the parent function. We will add this to the equation above. Since we are adding one unit, we will subtract one unit as it's reversed (" -h" in the equation above).
y = |x - 1| - 1