Final answer:
The image of the point (2,-3) after the transformation r is (-3,2).
Step-by-step explanation:
The image of the point (2,-3) after the transformation r is (-3,2).
To find the image of a point after a transformation, we need to apply the transformation to the coordinates of the point. In this case, the transformation r involves reflecting the point across the y-axis.
So, the new x-coordinate will be the opposite of the original x-coordinate, and the y-coordinate will remain the same. Therefore, the image of (2,-3) after the transformation r is (-3,2).