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 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.

Each function family has two parent functions to create all of the functions in the function 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 through these transformations, parent functions can produce all functions that belong to the same family.