Question

graph the image of h(4, -4) after a rotation 90° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation around the origin is $(x,y)\to(y, - x)$.

Step2: Apply the rule to point H

For point $H(4,-4)$, substituting $x = 4$ and $y=-4$ into the rule, we get $x'=-4$ and $y'=-4$. So the new point is $(-4,-4)$.

Answer:

The image of point $H(4,-4)$ after a 90 - degree clockwise rotation around the origin is $(-4,-4)$.