(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Mapping a complex circle to its square

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