Unit 3

Transformations


Introduction


Lesson 3.2: Transforming Radical, Sinusoidal, Exponential, and Rational Functions


In Lesson 3.2, you will


  • apply transformations to various types of functions including radical, rational, exponential, and sinusoidal functions,
  • identify the domain and range of functions based on transformations, and
  • identify the phase shift, period, amplitude, and vertical displacement of sinusoidal functions.

Coming into this Lesson, you should have


  • an understanding of various types of functions,
  • knowledge of graph shapes based on the type of function, and
  • an understanding of radical, trigonometric, exponential, and rational functions and their characteristics.