Question

identify the mapping description that best describes the rotation. enter the option number of the correct answer. option #1 (x,y)→(y,x) option #2 (x,y)→(y, - x) option #3 (x,y)→(-y,x) option #4 (x,y)→(-x, - y) (1 point)

Explanation:

Step1: Recall rotation rules

In a 90 - degree counter - clockwise rotation about the origin, the mapping rule for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Step2: Analyze the graph

Observe the transformation of points $P$ and $Q$ to $P'$ and $Q'$. The transformation appears to be a 90 - degree counter - clockwise rotation about the origin.

Answer:

Option #3. $(x,y)\to(-y,x)$