Question

answer a reflection over the y -axis a rotation 90° counterclockwise about the origin a rotation 90° clockwise about the origin a reflection over the x -axis

Explanation:

Step1: Recall transformation rules

For a reflection over the y - axis, the rule is $(x,y)\to(-x,y)$. For a 90 - degree counter - clockwise rotation about the origin, the rule is $(x,y)\to(-y,x)$. For a 90 - degree clockwise rotation about the origin, the rule is $(x,y)\to(y, - x)$. For a reflection over the x - axis, the rule is $(x,y)\to(x,-y)$.

Step2: Analyze the transformation from Figure Q to Figure R

If we take a point $(x,y)$ on Figure Q and observe its corresponding point on Figure R, we can see that for each point $(x,y)$ on Figure Q, its image on Figure R is $(x,-y)$. This is the rule for a reflection over the x - axis.

Answer:

A reflection over the x - axis