13. Conformal Mapping

Linear Fractional Transformations — Quiz

Test your understanding of linear fractional transformations with 5 practice questions.

Practice Questions

Question 1

Which formula gives the general form of a linear fractional transformation?

Question 2

If $f(z)=\frac{3z-2}{z+4}$, what is $f(0)$?

Question 3

For $f(z)=\frac{2z+5}{z-3}$, which point is mapped to $\infty$?

Question 4

For $f(z)=\frac{5z-1}{2z+7}$, what is $f(\infty)$?

Question 5

What local geometric property do linear fractional transformations preserve where they are analytic?