A baseball is hit in the Rogers Centre. After traveling a horizontal distance of 400 feet, it barely clears the centre field wall, which has a height of 10 feet before hitting the ground 420 feet from where it was hit. Considering the ground to be the x-axis, and the height of the ball to be on the y-axis, 

Determine the equation of a quadratic function that can be used to model the height of the ball. What would be the maximum height of the ball?

 How far has the ball travelled horizontally to reach its maximum height?