We are asked to find the coordinates of a point after a dilation centered at the origin. To do that, let's remember that when we have a dilation by a factor of "k" centered at the origin, then the image points are:
We are given the point (x,y) = (-12,4) and a dilation factor k = 1/2. The image points are:
Therefore, the coordinates of the point are (-6,2)