# Möbius Transforms

Möbius Transforms

The parametric plot shows the transformation of the polar coordinate lines under the Möbius transform . The point is the image of 0, and is the image if . Transformation of the complex plane (in polar coordinates) under a Möbius transform can be observed by dragging the two points.

f(z)=

a+bz

1+z

a

b

∞