Answer
See graph
Work Step by Step
We are given the function:
$f(x)=-(x-4)^2$
Start by graphing the parent function $a(x)=x^2$.
Then horizontally shift $a(x)$ 4 units to the right to get $b(x)=(x-4)^2$.
Finally reflect $b(x)$ across the $x$-axis to get $f(x)=-(x-4)^2$.