Alright, so I've got to "Find the image of the set $\displaystyle S$ after the given transformation."

$\displaystyle S$ is the square bounded by the lines $\displaystyle u=0, u=1, v=0, v=1; x=v, y=u(1+v^2)$

How do I do this? I've found the Jacobian to be $\displaystyle -u$ but I don't even know how to use that for this problem. Can someone please start me in the correct direction.