Answer:
When we have a point (x, y) and we have a dilation of scale factor K about the origin, the new coordinates of the point will be:
(k*x, k*y)
In this case we have a dilation about point P, but let's assume that point P is the origin of coordinates.
Then the coordinates of point B will be (8, 12)
Then after the dilation of scale factor of 1/4, the new coordinates will be:
( (1/4)*8, (1/4)*12) = (8/4, 12/4) = (2, 3)
This means that the dilated point will be 2 units at the right of P, and 3 units above P.
An example image can be seen below.
