The image shows a parent function f(x)=x2

Question

and a translated form f(x)=x2−3
. Which statement best describes this translation?

(1 point)
Responses

The function shifted vertically down 3 units and is wider than the original.
The function shifted vertically down 3 units and is wider than the original.

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 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.

Answer 1

The correct statement is:

The parent function shifted vertically down 3 units and did not change in any other way.

The function \( f(x) = x^2 - 3 \) represents a vertical translation of the parent function \( f(x) = x^2 \) downward by 3 units. There are no changes in width or horizontal shifting in this case.