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

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.

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.

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

1 answer

The statement that 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 various transformations of a parent function can result in all the other functions within the same family.