Answer:
Option A.
Explanation:
Consider the below diagram is attached with this question.
Quinton tried to transform triangle FGH according to the rule (x, y) → (–y, x).
From the below figure it is clear that the vertices of triangle FGH are F(3,2), G(1,2) and H(4,5).
The vertices of image after transformation are F'(-2,3), G'(-2,1) and H'(-5,4).
The relation between preimage and image is defined by the rule

Since Quinton transformed the triangle according to the rule (x, y) → (–y, x), therefore he is correct.
Thus the correct option is A.