Question

before you continue, we recommend completing the day 2 activities, \practice makes progress\ and \geogebra activity: rigid transformations.\
which of the following best describes the transformation from the preimage to the image?
reflection over the x - axis
reflection over the y - axis
translation up
dilation to reduce size

Explanation:

To determine the transformation, we analyze the preimage \( E \) and image \( E' \). A reflection over the \( y \)-axis flips a figure across the \( y \)-axis, resulting in a mirror image where the \( x \)-coordinates of points are negated (e.g., a point \((x,y)\) becomes \((-x,y)\)). Looking at the graph, \( E \) and \( E' \) are symmetric with respect to the \( y \)-axis. A reflection over the \( x \)-axis would flip vertically (changing \( y \)-coordinates), translation up moves the figure vertically, and dilation changes size (neither of these match here). So the transformation is reflection over the \( y \)-axis.

Answer:

Reflection over the y - axis (the option labeled "Reflection over the y - axis")