Find a formula for a transformation of the complex plane that carries the disk {z: |z-5| < 3} to the disk {z: |z-2| < 8}

Answer 1

f(z) = z-3 translates the disc 3 units to the left.

f(z) = 8/5 * (z-3) magnifies the shifted disc to have radius 8 instead of 5