1. The problem statement, all variables and given/known data graph |z-1|=1 and then graph z^2 2. Relevant equations z=x+iy 3. The attempt at a solution well, |z-1|=1 => |(x-1)+iy|=1, squaring both sides. we get, (x-1)^2+y^2=1. This is a circle. But how am i supposed to get z^2 from this? I dont know what to do with the inequality since i cant algebrically isolate the z.