Answer:
The correct option is C.
Explanation:
From the given figure it is clear that the vertices of triangle ABC are A(1,1), B(5,3) and C(2,6).
The vertices of triangle A'B'C' are A'(1,-7), B'(5,-5) and C'(2,-2).
The relation between preimage and image is defined by the rule

It is the rule of translation. It means the figure ABC translate 8 units down.
The transformation of triangle ABC is an example of translation of (0, -8).
Therefore the correct option is C.