(This problem is from Linear Fractional Transformations and An Implicit
Form.)
Find the linear fractional transformation that maps the points {see attachment}. Into what curve is the imaginary axis x = 0 transformed?
A Linear Fractional Transformation and the Transformation of the Imaginary Axis into a Curve are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.