Question

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

Parent functions can only undergo a vertical translation if they are above the x-axis.

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

Answer 1

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

Reason: Translations, reflections, and dilations are the basic transformations that map a parent function to any member of its family. The other choices are false (vertical translation restriction, two parent functions, or requiring at least two transformations).