One Section of a Suspension Bridge Hangs Between Two Towers

Multiple Choice

One section of a suspension bridge hangs between two towers that are 40 feet above the surface and 300 feet apart. A cable strung between the tops of the two towers is in the shape of a parabola with its vertex 20 feet above the surface. With axes drawn as indicated in the figure, find the equation of the parabola.

A) x ² - 563 y + 45,000 = 0
B) x ² - 1,125 y + 22,500 = 0
C) x ² - 695 y + 55,600 = 0
D) x ² - 1,390 y + 27,800 = 0
E) x ² - 1,100 y + 22,000 = 0