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

Question

They can translate, reflect, and or dilate to create all functions within a family
Can only undergo a vertical translation if they are above the x-axis
Each function has two parent functions to create all the functions in the function family
Must undergo at least two transformations to create other functions within the family

Answer 1

The statement that shows that parent functions can create all other functions in a function family is:

"They can translate, reflect, and or dilate to create all functions within a family."

This statement captures the essence of how parent functions serve as the foundational building blocks for generating other functions in a family through various transformations.