Answer: The correct option is
(C) -4.
Step-by-step explanation: Given that a point (-1, 3) is dilated with the center of dilation at the origin and the image of the point is (4,-12).
We are to find the scale factor of the dilation.
We know that
when a point (a, b) is dilated about the origin to another point (c, d), then its scale of dilation is given by

Therefore, for the given dilation, the scale factor of dilation is given by

Thus, the required scale factor is -4.
Option (C) is CORRECT.