Lesson: Transformations of the Complex Plane Mathematics
In this lesson, we will learn how to translate and rotate a complex number in the complex plane.
Describe the geometric transformation that occurs when numbers in the complex plane are mapped to their sum with .
Multiplying a complex number by corresponds to a transformation composed of a rotation by about the origin and a dilation with center at the origin and positive scale factor. What kind of number is ?
Find an equation for the image of the line under the transformation of the complex plane .