Question

use rotation mapping to locate c after a - 90 - degree (clockwise) rotation about the origin

Explanation:

Step1: Recall rotation rule

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

Step2: Identify coordinates of C

From the graph, the coordinates of point C are $(-4,2)$.

Step3: Apply rotation rule

Using the rule $(x,y)\to(y, - x)$, for $x=-4$ and $y = 2$, we get $(2,4)$.

Answer:

The coordinates of $C'$ are $(2,4)$