Question
Which of the following statements shows that parent functions can create all other functions in a function family?(1 point)
Responses
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.
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.
Parent functions can be translated, reflected, and/or dilated to create all functions within a family.
Responses
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.
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.
Parent functions can be translated, reflected, and/or dilated to create all functions within a family.
Answers
GPT-4o mini
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 highlights the versatility of parent functions and their ability to produce a variety of functions through different transformations.
**"Parent functions can be translated, reflected, and/or dilated to create all functions within a family."**
This statement highlights the versatility of parent functions and their ability to produce a variety of functions through different transformations.