Action on the complex plane
- Robert Mendez
This worksheet is meant to help explore how a particular mapping transforms the plane. The shape with vertices A'-D' below is the image of the rectangle ABCD under the rational mapping . The grid lines in the image correspond to a grid within the preimaged rectangle, where incr is the width of the preimage's grid squares.
Reposition the preimage rectangle by moving the point A. The sliders choose vert and choose flat let you highlight particular grid lines in the preimage along with their corresponding images.