Question

graph the image of c(-3, 0) after a rotation 180° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given the point $C(-3,0)$, substituting $x = - 3$ and $y = 0$ into the rule, we get $(-(-3),-0)=(3,0)$.

Answer:

The image of point $C(-3,0)$ after a 180 - degree counter - clockwise rotation around the origin is $(3,0)$.