Final answer:
The given coordinates of the triangle's vertices have changed. The transformation that was performed is a Translation.
Step-by-step explanation:
The given coordinates of the triangle's vertices have changed to new coordinates A' (2,-3), B' (3,2), C' (6,-2). In order to determine the transformation, we need to compare the original and new coordinates. Looking at the x-coordinates, we can see that they have all increased by the same value of 8. Looking at the y-coordinates, we can see that they have all remained the same. Therefore, the transformation that has been performed is a Translation.