Answer
Option C is correct.
Step-by-step explanation
The translation T (a, b) changes the coordinates A (x, y) into A (x + a, y + b).
So, a translation of T (5, 1) followed by T (-3, 7) becomes a single translation of
T (5 - 3, 1 + 7) = T (2, 8)
And this would turn A (x, y) into A' (x + 2, y + 8).
Hope this Helps!!!