Final answer:
The image of the point (-3,-2) after a 90 degree rotation counterclockwise around the origin is (2, -3).
Step-by-step explanation:
The image of the point (-3,-2) after a 90 degree rotation counterclockwise around the origin can be found using the rules of rotation in the coordinate system. Rotating a point 90 degrees counterclockwise around the origin results in a new point where the original x-value becomes the new y-value, and the original y-value becomes the negative of the new x-value.
So for the point (-3,-2), after a 90 degree rotation, the x-value (-3) becomes the new y-value, and the y-value (-2) becomes the negative of the new x-value. Therefore, the new coordinates are (2, -3).