Answer
$(x+4)^2+(y-3)^2=25$
$\:$
$ $
Work Step by Step
Moving the graph up by $\ 3\ $ units will change the $\ y\ \rightarrow\ y-3$. And moving it to the left by $\ 4 \ $ units will change the $\ x\ \rightarrow\ x+4.$
So the equation of the shifted graph would be:
$(x+4)^2+(y-3)^2=25$
