Find the intervals on which $f$ is increasing and the intervals on which it is decreasing.

$f(x)=-(x-4{)}^2$

Select the correct choice below and, if necessary, fill in the answer box$($es$)$ to complete your choice.

A$.$ The function is increasing on the open interval$($s$)$ and decreasing on the open interval$($s$)($Simplify your answers. Use a comma to separate answers as needed. Type your answers in interval notation.$)$

B$.$ The function is decreasing on the open interval$($s$)$ The function is never increasing. $($Simplify your answer Use a comma to separate answers as needed. Type your answer in interval notation.$)$

C$.$ The function is increasing on the open interval$($s$)$ The function is never decreasing. $($Simplify your answer. Use a comma to separate answers as needed. Type your answer in interval notation.$)$

D$.$ The function is never increasing or decreasing.