Answer: The coordinates can be mapped by discovering how many units M has moved.
Explanation:
Point M originally was at (4, 1), and moved to (-2, 3).
4, M's original X coordinate, is 6 units away from the new X coordinate, -2. This means a translation to the left of 6 units occurred.
1, M's original Y coordinate, is 2 units away from the new Y coordinate, 3. This means a translation up of 2 units occurred.
We now know how many units to move point U and G based on this!
U is moved to (-3, 10). We took away 6 (because it is moving to the negative X plane) and added 2 (because it is moving upwards to the positive Y plane) to U's original coordinates.
You did not list G's coordinates in the original question, but if you take away 6 from its original X and add 2 to its Y you will find the coordinates for point G.
Hope this helps and good luck to you! :)