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)

The function shifted horizontally to the right 3 units and is narrower 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 vertically down 3 units and did not change in any other way.

The function shifted vertically down 3 units and is wider than the original.
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Answer 1

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

Reason: f(x) = x^2 − 3 is f(x) = x^2 shifted down by 3 (no horizontal shift and same vertical stretch, so width unchanged).