There is a quadratic function image, three students respectively said some of its characteristics: A: the axis of symmetry is a straight line x = 4 B: the abscissa of the intersection with the X axis is an integer C: the intersection with the Y axis is also an integer, and the area of the triangle with these three intersections as the vertex is 12+

There is a quadratic function image, three students respectively said some of its characteristics: A: the axis of symmetry is a straight line x = 4 B: the abscissa of the intersection with the X axis is an integer C: the intersection with the Y axis is also an integer, and the area of the triangle with these three intersections as the vertex is 12+

A: the axis of symmetry is a straight line x = 4, y = a (x-4) ^ 2 + C. B: the abscissa of the intersection point with the X axis is an integer. Y = 0, a (x-4) ^ 2 + C = 0 --- > x = 4 + / - {(- C / a) - > {(- C / a) is an integer k, C = - AK ^ 2. C: the intersection point with the Y axis is also an integer. X = 0, y = 16A + C are integers. Take these three intersections as vertices