Daily Assignment for Friday, February 14

Due Monday, February 17 on Canvas.

• Here is the Desmos project from class :
• I assigned this question last time, but mis-stated the problem. It might be something important to know for the exam. Fix \( a, b, c \in \mathbb C \) and let \( f(z) = [ z, a, b, c ] \). Show that it is possible to express \( f \) as a composition of either 1) a translation, a rotation, a dilation, and another translation or 2) a translation, an inversion, a rotation, a dilation, and another translation. Conclude that \( f(z) \) transforms circles and lines to circles and lines.
• Read §4.8.
• Do exercises 1, 3, 4, 13.
• Assign yourself a grade for this assignment :
  1. At least 60 minutes.
  2. About 45 minutes.
  3. About 30 minutes.
  4. About 15 minutes.
  Submit your grade as a submission comment with your assignment. This comment must be the first comment and it must be exactly 1 character long or the grade won't be registered.