Question
Choose the correct description for how the function y=(x−5)2
has transformed from the parent function y=x2
.(1 point)
Responses
The function was shifted up 5 units
The function was shifted up 5 units
The function was shifted left 5 units
The function was shifted left 5 units
The function was shifted right 5 units
The function was shifted right 5 units
The function was shifted down 5 units
The function was shifted down 5 units
has transformed from the parent function y=x2
.(1 point)
Responses
The function was shifted up 5 units
The function was shifted up 5 units
The function was shifted left 5 units
The function was shifted left 5 units
The function was shifted right 5 units
The function was shifted right 5 units
The function was shifted down 5 units
The function was shifted down 5 units
Answers
GPT-4o mini
The correct description for how the function \( y = (x - 5)^2 \) has transformed from the parent function \( y = x^2 \) is:
**The function was shifted right 5 units.**
This happens because the expression inside the parentheses, \( (x - 5) \), indicates a horizontal shift to the right by 5 units.
**The function was shifted right 5 units.**
This happens because the expression inside the parentheses, \( (x - 5) \), indicates a horizontal shift to the right by 5 units.