Question

Which of the following statements shows that parent functions can create all other functions in a function family?

Answer 1

Parent functions are the simplest form of functions in a family and serve as the foundation from which other functions in that family can be derived. To illustrate that parent functions can create all other functions in a function family, a statement that could encapsulate this idea might be:

"Every function in a specific family can be obtained by transforming its parent function through techniques such as vertical or horizontal shifts, stretches, compressions, and reflections."

This statement conveys that any function within a given family can be generated from its parent function through various mathematical transformations.