Suppose a Cable of a Suspension Bridge Is Suspended (In $y = \frac { 1 } { 300 } x ^ { 2 }$

Multiple Choice

Suppose a cable of a suspension bridge is suspended (in the shape of a parabola) between two towers that are 240 meters apart and 40 meters above the roadway as shown in the figure Given below. The cable touches the roadway midway between the towers. Find an equation for the Parabolic shape of cable.

A) $y = \frac { 1 } { 300 } x ^ { 2 }$
B) $y = \frac { 1 } { 360 } x ^ { 2 }$ $\mathrm { C }$
C) $y = \frac { 1 } { 180 } x ^ { 2 }$
D) $y = 360 x ^ { 2 }$
E) $y = 180 x ^ { 2 }$