Larry likes skeet shooting, where a clay disc is shot into the air, and the participant tries to shoot it as it flies through the air. The discs are released from a firing mechanism that sits at ground level and shoots the disc on average a horizontal distance of 120 m on a parabolic path. On avergae, the skeet hits a height of 37.5 m after travelling a horizontal distance of 45 m.

a. Determine the equation of a function, in standard form, that represents the flight of the clay disc. Leave valuses in fractions.

b. Determine the average maximum height of the skeet by completing the square.