In the figure below, the curve is a graph of the function y=ax2 (a>0), and two points A and B with x-coordinates of -3 and 3 are placed on the curve. Also, take a point C on the curve whose x-coordinate is greater than 3, and let D be a point on the axis with the same coordinate as C.

When the y-coordinate of the point D is 8, the quadrilateral ABCD becomes a parallelogram. At this time, the value of α and the original

Find the area of the parallelogram ABCD