Final answer:
The translation of point H(x, y) moving 12 units left and 4 units up is described by the transformation H(x - 12, y + 4).
Step-by-step explanation:
A rule that describes the translation of a point H(x, y) moving 12 units left and 4 units up is represented by the transformation H(x - 12, y + 4). This means that for the point H to translate according to the described motion, you subtract 12 from the x-coordinate and add 4 to the y-coordinate of the original position of the point. In general, a translation rule can be described as H(x + dx, y + dy), where dx and dy are the horizontal and vertical displacements respectively.