Question

what is the image of the point (2, -3) after a rotation of 180° counterclockwise about the origin?

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree counter - clockwise rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply the rule

Given the point $(2, - 3)$, substitute $x = 2$ and $y=-3$ into the rule. We get $(-2,3)$.

Answer:

$(-2,3)$