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 left
reflection over the y - axis
reflection over the x - axis
translation right

Explanation:

To determine the transformation, we analyze the position of the preimage (lower lightning bolt) and the image (upper lightning bolt). A reflection over the x - axis changes the y - coordinate's sign (positive to negative or vice - versa) while keeping the x - coordinate the same. Looking at the grid, the preimage and image seem to be mirror images across the x - axis. Translation left/right would move the figure horizontally, but here the vertical position changes. Reflection over y - axis would mirror horizontally, which is not the case. So the transformation is reflection over the x - axis.

Answer:

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