Question

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

Explanation:

To determine the transformation, we analyze the coordinates of point \( A \) and its image \( A' \). A reflection over the \( y \)-axis changes the sign of the \( x \)-coordinate (e.g., \( (x,y) \to (-x,y) \)). Observing the grid, the horizontal flip (left - right) without vertical change suggests a reflection over the \( y \)-axis. A reflection over the \( x \)-axis would flip vertically (change \( y \)-sign), translation down/left 10 units would involve vertical/horizontal shifts, which don't match the symmetric horizontal flip.

Answer:

A reflection over the y - axis