Answer
(a). See graph.
(b). $9\ unit^2$.
Work Step by Step
(a). To graph $f(x)=|x-3|-3$, start with $y=|x|$, shift $3$ unit to the right, then shift $3$ units down. See graph.
(b). The region is a triangle with base $6$ and height $3$, thus its area is $A=\frac{1}{2}(6)(3)=9\ unit^2$.
