To find how can the transformation be represented algebraically, compare two corresponding point, for example, B and B'.
Coordinates of B are (5, -3) and coordinates of B' are (-2, 0).
Now, what is necessary for 5 to became -2? To substract 7.
What is necessary for -3 to became 0? To add 3.
Then, the transformation is:

The correct answer is (X-7, Y+3)