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?
translation up
reflection over the y - axis
dilation to reduce size
reflection over the x - axis

Explanation:

To determine the transformation, we analyze the preimage \( E \) and image \( E' \). A reflection over the \( y \)-axis maps a point \((x,y)\) to \((-x,y)\). Observing the graph, the preimage \( E \) (left of \( y \)-axis) and image \( E' \) (right of \( y \)-axis) are mirror images across the \( y \)-axis. Translation (up) would move vertically, dilation changes size, and reflection over \( x \)-axis flips vertically—none match. Only reflection over \( y \)-axis fits.

Answer:

C. Reflection over the y - axis (assuming the third option is labeled as such; from the options, the correct one is "Reflection over the y - axis")