Answer
See graph
Work Step by Step
We are given the function:
$g(x)=4\sqrt{2-x}$
We start graphing with the basic function $a(x)=\sqrt x$.
We reflect $a(x)$ about the $y$-axis to get $b(x)=\sqrt{-x}$.
Then we horizontally shift $b(x)$ 2 units to the right to get $c(x)=\sqrt{-(x-2)}$.
Finally we vertically stretch $c(x)$ by a factor of 4 to get $g(x)=4\sqrt{2-x}$.
We use 3 points: $(-2,8),(1,4),(2,0)$.
