Mathegoras

Complex numbers › The complex plane › Argument and polar form

Rotation center of a complex map

High school · ●●○○○ 20 pts

The function f(z)=(−1+i3) z+(−23−18i)2f(z) = \frac{(-1 + i \sqrt{3})\, z + (-2 \sqrt{3} - 18i)}{2} represents a rotation around some complex number cc. Find cc, writing c=x+yic = x + yi with xx and yy real. Round xx to two decimal places.

Sign in to save your progress.

fixed pointsrotation in the complex plane