Answer
(a). See graph.
(b). $8\ unit^2$.
Work Step by Step
(a). To graph $f(x)=-2|x-4|+4$, start with $y=|x|$, shift $4$ unit to the right, stretch vertically by a factor of 2, reflect across the x-axis, then shift $4$ units up. See graph.
(b). The region is a triangle with base $4$ and height $4$, thus its area is $A=\frac{1}{2}(4)(4)=8\ unit^2$.
