Question

What is the mapping formula expressed by the vector that translates JKLM to J’K’L’M’.

(x,y) → (x - 2, y - 3)
(x,y) → (x +1, y - 4)
(x,y) → (x +1, y + 4)
(x,y) → (x - 2, y +3)

Answer 1

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)