Question

identify the transformation that best characterizes the graph (1 point) the graph shows the reflection over the y - axis the graph shows a reflection over the line y = - 1 the graph shows a reflection over the x - axis the graph shows a reflection over the line x = 1

Explanation:

Step1: Recall reflection rules

A reflection over the y - axis changes the sign of the x - coordinate of each point on the graph. That is, if we have a point \((x,y)\) on the original graph, its image after reflection over the y - axis is \((-x,y)\).

Step2: Observe the graph

In the given graph, for every point \((x,y)\) on one side of the y - axis, there is a corresponding point \((-x,y)\) on the other side of the y - axis. For example, if we consider a point \((2,1)\) on the right - hand side of the y - axis, there is a point \((-2,1)\) on the left - hand side of the y - axis.

Answer:

The graph shows the reflection over the y - axis.