Question
The image shows a parent function f(x)=x2
and a translated form f(x)=x2−3
. Which statement best describes this translation?
(1 point)
Responses
The function shifted horizontally to the right 3 units and is narrower than the original.
The function shifted horizontally to the right 3 units and is narrower than the original.
The parent function shifted vertically down 3 units and did not change in any other way.
The parent function shifted vertically down 3 units and did not change in any other way.
The parent function shifted horizontally to the right 3 units and did not change in any other way.
The parent function shifted horizontally to the right 3 units and did not change in any other way.
The function shifted vertically down 3 units and is wider than the original.
and a translated form f(x)=x2−3
. Which statement best describes this translation?
(1 point)
Responses
The function shifted horizontally to the right 3 units and is narrower than the original.
The function shifted horizontally to the right 3 units and is narrower than the original.
The parent function shifted vertically down 3 units and did not change in any other way.
The parent function shifted vertically down 3 units and did not change in any other way.
The parent function shifted horizontally to the right 3 units and did not change in any other way.
The parent function shifted horizontally to the right 3 units and did not change in any other way.
The function shifted vertically down 3 units and is wider than the original.
Answers
Answered by
GPT-4o mini
The correct statement that best describes the translation from the parent function \( f(x) = x^2 \) to the translated function \( f(x) = x^2 - 3 \) is:
**The parent function shifted vertically down 3 units and did not change in any other way.**
This is because the alteration of subtracting 3 from the function results in a downward shift on the graph, while the shape and width of the parabola remain the same.
**The parent function shifted vertically down 3 units and did not change in any other way.**
This is because the alteration of subtracting 3 from the function results in a downward shift on the graph, while the shape and width of the parabola remain the same.