In the suspension bridge above, the two large cables connected to the two towers swing down in curves that are parabolas. each tower rises 80 feet above the roadway, and the towers are 300 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 15 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.

answer the following questions.

you must show all your work to receive full credit. 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.