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:
![(x-7,y+3)](https://img.qammunity.org/2023/formulas/mathematics/college/x0lopr9uypw0717yzq4hlzt0c41jzrugkc.png)
The correct answer is (X-7, Y+3)