Which of the following statements shows that parent functions can create all other functions in a function family?(1 point)

Question

Responses

Parent functions can only undergo a vertical translation if they are above the x-axis.
Parent functions can only undergo a vertical translation if they are above the x -axis.

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

Each function family has two parent functions to create all of the functions in the function family.
Each function family has two parent functions to create all of the functions in the function family.

A parent function must undergo at least two transformations to create other functions within the family.
A parent function must undergo at least two transformations to create other functions within the family.

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 emphasizes the various transformations that can be applied to a parent function, demonstrating how it can generate all other functions in the same family.