Exploring Transformations of Function Families
- Diana Bowen
LAUNCH: Defining and Identifying Parent Functions
A parent function is the simplest function in a family of functions. Each of the functions below can be classified as either a parent function or a transformed function. Mark all of the responses that represent a parent function for a function family.
How did you decide if a function was a parent function? What did you notice about the parent functions? What did you notice about the functions that are transformations of the parent functions? What would you say if someone asked you to explain what is meant by the word "simplest" in the definition above?
What function families are represented in the choices above?
What is the parent function for the cubic function family?