Question

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

Explanation:

To determine the transformation, we analyze the coordinates (visually from the grid). A reflection over the x - axis changes the sign of the y - coordinate. Looking at points A and A', B and B', the y - coordinates seem to be negated (pre - image below x - axis, image above or vice - versa? Wait, actually, when we reflect over the x - axis, a point (x,y) becomes (x, - y). From the graph, the pre - image (A,B) and image (A',B'): if we check the vertical positions, reflecting over the x - axis would flip the y - values. Let's verify other options: translation left/right would move horizontally, but here the horizontal position (x - coordinate) seems similar, vertical flips. Reflection over y - axis would flip x - coordinates, which is not the case. Translation right/left also doesn't fit. So the transformation is a reflection over the x - axis.

Answer:

A reflection over the x - axis