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.

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.

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.

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 describes the transformations that can be applied to parent functions to generate all the other functions in that family, indicating the versatility and foundational role of parent functions.