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

Question

Responses

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.

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.

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 correct statement that shows how 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 various transformations can be applied to a parent function to generate other functions in the same family, demonstrating the versatility and foundational role of parent functions.