Mobius transformations

From GeoGebraWiki

Background

We can consider a point A in GeoGebra to be a point in the complex plane C. This worksheet shows the effect of applying the Mobius transformation

Z' = M(Z) = (AZ+B)/(CZ+D).

Here you can move A,B,C and D which define the transformation M.

The point Z is constrained to move on a circle.