Question

Which of the following statement shows that parent functions can create all other functions in a function family? Each function family has 2 pair of functions to create all of the functions in the function family, Parent functions can be translated reflected and or dilated to create all functions within a family, The parent function must undergo at least 2 transformations to create other functions within the family, or Parent functions can only undergo a vertical translation if they're above the X. axis

Answer 1

The statement that best shows that parent functions can create all other functions in a function family is:

**"Parent functions can be translated, reflected, and/or dilated to create all functions within a family."**

This statement indicates that through various transformations (translations, reflections, dilations), parent functions can be modified to generate the entire family of functions related to that parent function, demonstrating the underlying connection among them.