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

Responses

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 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.

1 answer

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 transformations that can be applied to parent functions to generate the entire family of functions, demonstrating the flexibility and foundational role of parent functions in function families.