Question

graph the image of b(3, -7) 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 to point B

Given $B(3, - 7)$, substituting $x = 3$ and $y=-7$ into the rule, we get $(-3,7)$.

Answer:

The image of $B(3,-7)$ after a 180 - degree counter - clockwise rotation around the origin is $B'(-3,7)$. To graph it, locate the point $(-3,7)$ on the coordinate plane, which is 3 units to the left of the y - axis and 7 units above the x - axis.