Question

identify the transformation that best characterized the graph. (1 point) the graph shows a reflection over the line x = 0. the graph shows a reflection over the line y = -1. the graph shows a reflection over the line x = 1. the graph shows a reflection over the line y = 0.

Explanation:

Step1: Recall reflection rules

A reflection over the y - axis (x = 0) changes the sign of the x - coordinates of all points. A reflection over the x - axis (y = 0) changes the sign of the y - coordinates of all points. A reflection over a horizontal line y = k moves points such that the distance from the point to the line y = k is the same before and after reflection, and a reflection over a vertical line x = h moves points such that the distance from the point to the line x = h is the same before and after reflection.

Step2: Analyze the graph

By observing the graph, we can see that the pre - image and the image are symmetric about the y - axis (the line x = 0). For every point (x,y) on the pre - image, the corresponding point on the image is (-x,y).

Answer:

The graph shows a reflection over the line x = 0.