1. To translate down, add to y.
The equation is: y + 2 = |x| OR y = |x| - 2 (subtract 2 from each side)
2. To translate to the left, add to x.
The equation is: y = |x + 2|
3. To translate up, subtract from y.
The equation is: y - 2 = |x| OR y = |x| + 2 (add 2 to each side)
Hope this helps!