Consider the complex linear mapping . In each part, find the translation T , rotation R, a...

Consider the complex linear mapping . In each part, find the translation T , rotation R, and magnification M that satisfy the given equation and then describe the mapping f in words using T, R, and M.

(a) f(z) = T ◦ M ◦ R(z)

(b) f(z) = M ◦ T ◦ R(z)

(c) f(z) = R ◦M ◦ T (z)