Answer:
1 unit right and 1 unit down
Explanation:
When you replace x with x - h, you translate the graph h units horizontally.
When you replace y with y - k, you translate the graph k units vertically.
y = |x - 1| - 1
y + 1 = |x - 1|
y - (-1) = |x - 1|
Compare the last equation above with y = |x|. x was replaced by x - 1, so h = 1, and the translation is 1 unit horizontally. Since 1 is positive, it is a 1 unit translation to the right. y was replaced by y - (-1), so k = -1, and the vertical translation is 1 unit down.