In a suspension bridge, the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are 800 m apart, and the lowest point of the suspension cables is 200 m below the top of the towers. Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the lowest point of the cable.
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NOTE: This equation is used to find the length of the cable needed in the construction of the bridge.
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What will be an ideal response?


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Mathematics

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