The main span of the suspension bridge over the Peace River in Dunvegan, Alberta, has supporting cables in the shape of a parabola. The distance between the towers is 274m. Suppose that the ends of the cables are attached to the tops of the two supporting towers at a height of 52m above the surface of the water, and the lowest point of the cables is 30m above the water's surface. a) Determine a quadratic function that represents the shape of the cables if the origin is at. i) the minimun point on the cables ii) a point on the water's surface directly below the minimun point of the cables iii) the base of the tower on the left b) would the quadratic function change over the course of the year as the seasons change? Explain
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7. The main span of the suspension bridge over the Peace River in Dunvegan, Alberta, has supporting cables in the shape of a parabola. The distance between the towers is 274m. Suppose that the ends of the cables are attached to the tops of the two supporting towers at a height of 52m above the surface of the water, and the lowest point of the cables is 30m above the water's surface.
a) Determine a quadratic function that represents the shape of the cables if the origin is at.
i) the minimun point on the cables
ii) a point on the water's surface directly below the minimun point of the cables
iii) the base of the tower on the left
b) would the quadratic function change over the course of the year as the seasons change? Explain
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