A quadratic function intersects a line with equation f~y=8x-32 at points (4,0) and (-1,-40).

One of the points of intersections happens to be one of the zeros (x-intercept) of the parabola. other point of intersection is the symmetrical to the y-intercept of the parabola which is

The (0,-40). Using the given information find the equation of the parabola in standard form. Then find the coordinate for the vertex of this parabola.