Question

question 8 what is the image of the point (-2,3) after a rotation of 90° counterclockwise about the origin?

Explanation:

Step1: Recall rotation rule

For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Step2: Apply the rule

Given the point $(-2,3)$, where $x=-2$ and $y = 3$. Substitute into the rule: $(-2,3)\to(-3,-2)$.

Answer:

$(-3,-2)$