Answer:
The answer to your problem is, D. (x,y) → (x - 2, y +3)
Explanation:
We can see that the vector that translates JKLM to J'K'L'M' is given by the difference between the coordinates of J and J', and the difference between the coordinates of K and K'.
The differences can be called, "a" and "b", respectively. Then we can write:
a = J' - J = (-1) - 0 = -1
b = K' - K = 3 - (-1) = 4
Which can conclude to the mapping formula expressed by the vector that translates JKLM to J'K'L'M' is:
(X,Y) → (X - 1, Y + 4)
Thus the answer to your problem is, D. (x,y) → (x - 2, y +3)