Final answer:
The coordinates of the point after the transformation are (5, -3).
Step-by-step explanation:
Given that the point (2,3) is translated three units right, we can find its new x-coordinate by adding 3 to the original x-coordinate. Therefore, the new x-coordinate is 2 + 3 = 5.
Next, the point is rotated 180°. This means that the new y-coordinate will be the negative of the original y-coordinate. Therefore, the new y-coordinate is -3.
So, after the transformation, the coordinates of the point are (5, -3).