Applying the translation rule, the coordinates are:
The translation rule is:
[tex](x,y) \rightarrow (x - 3, y + 7)[/tex]
Thus, for the image, the transformation is applied for each coordinate. Then:
[tex]A' = (2 - 3, 5 + 7) = (-1, 12)[/tex]
[tex]B' = (6 - 3, -10 + 7) = (3, -3)[/tex]
[tex]C' = (-12 - 3, 15 + 7) = (-15, 22)[/tex]
A similar problem is given at https://brainly.com/question/24721131