Question

point a is graphed at (-3, 4). using the pencil, plot the image of point a after a 180° counterclockwise rotation about (-1, -2).

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point A

Given point A with coordinates $(-3,4)$, applying the rule: $x=-3,y = 4$, then $-x=3$ and $-y=-4$.

Answer:

The new coordinates of point A are $(3,-4)$.