Question

the image (green) is the result of a transformation on the pre - image (blue). which transformation would accomplish this? figure c figure b a rotation 90° clockwise about the origin a reflection over the x - axis a reflection over the y - axis a rotation 90° counterclockwise about the origin

Explanation:

Step1: Recall reflection rules

For a reflection over the y - axis, the transformation rule for a point $(x,y)$ is $(-x,y)$.

Step2: Check figure points

In the given figures, points of Figure B when reflected over the y - axis would result in Figure C. For example, if a point in Figure B has coordinates $(x,y)$, its corresponding point in Figure C has coordinates $(-x,y)$.

Answer:

C. A reflection over the y - axis