Question

graph the image of d(-6, 6) 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 D

Given $D(-6,6)$, substituting $x=-6$ and $y = 6$ into the rule, we get $(-6,6)\to(-6,-6)$.

Answer:

The image of point $D(-6,6)$ after a 90 - degree counter - clockwise rotation around the origin is $D'(-6,-6)$.