Question

graph the image of h(-9, 3) after a rotation 180° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180° clock - wise around the origin, the new coordinates $(x',y')$ are given by $(x',y')=(-x,-y)$.

Step2: Apply rule to point H

For the point $H(-9,3)$, where $x = - 9$ and $y = 3$. Then $x'=-(-9)=9$ and $y'=-3$.

Answer:

The image of $H(-9,3)$ after a 180° clock - wise rotation around the origin is $H'(9,-3)$. To graph it, locate the point $(9,-3)$ on the coordinate plane, which is 9 units to the right of the y - axis and 3 units below the x - axis.