Abuilding has an entry with the shape of a parabolic arch 66 feet high and 46 feet wide at the base. find an equation for the parabola if the vertex is placed at the origin of the coordinate system.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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