Suspension Bridge: a suspension bridge with weight uniformly distributed along its length has twin towers that extend 75 meters above the road surface and are 400 meters apart. The cables are parabolic in shape and are suspended from the top of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 100 meters from the center. (Assume that the road is level)

1. Draw a picture of the bridge, include measurements and label the unknown as defined in the problem
2. Find the quadratic equation that models the problem and use it to answer the question