A hauling company needs to determine whether a large house trailer can be moved along a highway that passes under a bridge with an opening in the shape of a parabolic arch, 12 m wide at the base and 6 m high in the center. If the trailer is 9m wide and 3.2 m tall (measured from the ground to the top of the trailer), will it fit under the bridge? give your answer using a diagram of this problem and justify your answer mathematically.