Question

graph the image of g(-9, 8) after a rotation 270° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 270 - degree counter - clockwise rotation around the origin is $(x,y)\to(y, - x)$.

Step2: Apply the rule to point G

Given $G(-9,8)$, substitute $x=-9$ and $y = 8$ into the rule. We get $(8,9)$.

Answer:

The image of point $G(-9,8)$ after a 270 - degree counter - clockwise rotation around the origin is $(8,9)$. To graph it, locate the point $(8,9)$ on the coordinate plane, which is 8 units to the right of the y - axis and 9 units above the x - axis.