Question

which of the following describes the transformation from the preimage to the image? a reflection over the x - axis a translation down 4 units a translation down 8 units a reflection over the y - axis

Explanation:

To determine the transformation, we analyze the positions of points \( S, T \) (preimage) and \( S', T' \) (image). A reflection over the \( y \)-axis maps a point \( (x,y) \) to \( (-x,y) \). Observing the graph, the points appear symmetric with respect to the \( y \)-axis. A reflection over the \( x \)-axis would flip vertically (change \( y \)-sign), which is not the case. Translations involve shifting, but here the symmetry suggests reflection over \( y \)-axis.

Answer:

A reflection over the y - axis