Question

which of the following describes the transformation from the preimage to the image? a translation left 4 units a translation right 10 units a reflection over the y - axis a reflection over the x - axis

Explanation:

To determine the transformation, we analyze the coordinates (or positions) of the preimage (AB) and the image (A'B'). A reflection over the x - axis changes the sign of the y - coordinate of a point. For a point \((x,y)\), its reflection over the x - axis is \((x, - y)\). By observing the graph, we can see that the y - coordinates of points A and B seem to have their signs changed (since the figure is flipped over the x - axis) to get to A' and B'. A translation left or right would move the figure horizontally without changing the vertical position relation, and a reflection over the y - axis would change the x - coordinate sign. So the transformation is a reflection over the x - axis.

Answer:

A reflection over the x - axis