Question

what line was the pre - image reflected over? the y - axis. the x - axis.

Explanation:

Step1: Recall reflection properties

Reflection over the y - axis changes the sign of the x - coordinate of a point \((x,y)\) to \((-x,y)\). Reflection over the x - axis changes the sign of the y - coordinate of a point \((x,y)\) to \((x, - y)\).

Step2: Analyze the graph

Looking at the pre - image and the image, we can observe that the x - coordinates of the corresponding points of the pre - image and the image have opposite signs (e.g., if a point in the pre - image has coordinates \((- 2,y)\), the corresponding point in the image has coordinates \((2,y)\)), while the y - coordinates remain the same.

Answer:

The y - axis.