There is an image of a quadratic function. Three students have described some of its characteristics: A: the axis of symmetry is a straight line x = 4; B: the abscissa of the two intersections with the X axis is an integer, and the ordinate of the intersection with the Y axis is also an integer; C: the area product of the triangle with the three intersections as the vertex is 12______ ．

There is an image of a quadratic function. Three students have described some of its characteristics: A: the axis of symmetry is a straight line x = 4; B: the abscissa of the two intersections with the X axis is an integer, and the ordinate of the intersection with the Y axis is also an integer; C: the area product of the triangle with the three intersections as the vertex is 12______ ．

According to the meaning of the question, let y = a (X-2) (X-6), ∵ the area of the triangle with the three intersection points of the coordinate axis as the vertex is 12, the intersection coordinates of the parabola and the coordinate axis can be (0, 6), ∵ a (0-2) (0-6) = 6, the solution is a = 12, so y = 12 (X-2) (X-6). So the answer is: y = 12 (X-2) (X-6)