A point of intersection (6,0) between the image of quadratic function and x-axis, and the vertex is (4, - 8), a point of intersection (6,0) between the image of quadratic function and x-axis,

A point of intersection (6,0) between the image of quadratic function and x-axis, and the vertex is (4, - 8), a point of intersection (6,0) between the image of quadratic function and x-axis,

Let y = a (x-4) ^ 2-8 substitute (6.0) to get a = 2, so the equation is y = 2x ^ 2-16x + 24