In the suspension bridge above, the two large cables connected to the two towers swing down in curves that are parabolas.  Each tower rises 130 feet above the roadway and the towers are 900 feet apart.  At the center of the bridge, the two curved cables are 5 feet above the roadway.  There are vertical cables that connect the roadway to these curved cables.  The vertical cables are placed 75 feet apart.  Vertical cables are not necessary at either of the towers.  Suppose this bridge was damaged during a wind storm.  Your job is to order new vertical cables to replace the ones between the two towers on the bridge. Write the equation of the parabola in standard form (standard form is (x – h)2 = 4p(y – k)  ). Use the center of the roadway as the origin (0,0).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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In the suspension bridge above, the two large cables connected to the two towers swing down in curves that are parabolas.  Each tower rises 130 feet above the roadway and the towers are 900 feet apart.  At the center of the bridge, the two curved cables are 5 feet above the roadway.  There are vertical cables that connect the roadway to these curved cables.  The vertical cables are placed 75 feet apart.  Vertical cables are not necessary at either of the towers.  Suppose this bridge was damaged during a wind storm.  Your job is to order new vertical cables to replace the ones between the two towers on the bridge.

  1. Write the equation of the parabola in standard form (standard form is (x – h)2 = 4p(y – k)  ). Use the center of the roadway as the origin (0,0).
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