A fireboat in the harbor is helping put out a fire in a warehouse along the pier. The distance from the barrel of the water cannon to the roof of the warehouse is $120$ feet, and the water shoots up $50$ feet above the barrel of the water cannon.

Sketch a graph and find the equation of the parabola that models the path of the water from the fireboat to the fire. Give the domain and range for which the function makes sense in relation to the fireboat. 4-51 HW eTool (Desmos).