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

Responses

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.

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.

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 various transformations that can be applied to a parent function, allowing it to generate all other functions in its family.