Answer
(a) shift $f(x)$ left 2 units and down 2 units
(b) shift $f(x)$ right 2 units and up 2 units
Work Step by Step
(a) The graph $g(x)=|x+2|-2$ is obtained by shifting $f(x)=|x|$ left 2 units and down 2 units.
(b) The graph $g(x)=g(x)=|x-2|+2$ is obtained by shifting $f(x)=|x|$ right 2 units and up 2 units.