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.

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.

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.

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 versatility of parent functions in generating various functions through transformations, which demonstrates their foundational role in function families.