If the weight of the deck and the cars is significantly greater than weight of the cables supporting a suspension bridge, such as the Golden Gate Bridge, then the shape of these cables can be modeled by parabolas. (If a cable without any additional weight is suspended between two towers, then this cable assumes a different shape called a catenary.) Suppose that a 300-foot-long suspension bridge has at each end a tower that is 120 feet tall, as shown in the figure. If the cable comes within 20 feet of the road at the center of the bridge, find a function that models the height of the cable above the road a distance of x feet from the center of the bridge.

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20 ft 300 ft- 120 ft