the function [f(z) = {(-1 i/ √{3}) z (-2 √{3} - 18i)}{2}]represents a rotation around some complex number c. find c.
a) What is the angle of rotation and in which direction?
b) Express the complex number c in standard form (a + bi).
c) How does the value of c relate to the factors in the numerator of the function?
d) If z is a real number, what is the effect of the imaginary components in the function on the rotation?
a) It has no effect.
b) It changes the magnitude of the rotation.
c) It changes the direction of the rotation.
d) It results in an oscillating rotation.
