In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are a = 520 m apart, and the lowest point of the suspension cables is b= 130 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 vertex. [Note: This equation is used to find the length of the cable needed in the construction of the bridge.]

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