The graph of a function is of the form $y=\frac{1}{20}x(x-3{)}^m(x+2{)}^n$, where $m$ and $n$ are positive integers. The graph has x-intercepts at $x=0,x=3,$ and $x=-2$. For this function, the graph has $y>0$ for all $x<-2$ and for all $x>3$. Which of the following equations could represent this function?