Question

graph the image of u(7, 9) after a rotation 90° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point U

For point $U(7,9)$, substitute $x = 7$ and $y = 9$ into the rule. We get $(-9,7)$.

Answer:

The image of $U(7,9)$ after a 90 - degree counter - clockwise rotation around the origin is $(-9,7)$.