I am studying for an exam and I missed this problem on a homework. Can someone help me with it so that I can understand it before the exam?

I tried an approx along the lines of Mx+b but I butchered the problem... TIA

Problem:

Find the linear transformation $\displaystyle w=f(z)$ that satisfies the following...

circle $\displaystyle |x|=1$ maps onto a circle $\displaystyle |w - 3 + 2i| = 5 $ and $\displaystyle f(-i) = 3 + 3i$...

Any help would be appreciated...