Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road is 32 feet wide and 0.4 foot higher in the center than it is on the sides (see figure). 0.4 ft (a) Write an equation of the parabola with its vertex at the origin that models the road surface. (Assume that the origin is at the center of the road.) Not drawn to scale 32 ft (b) How far from the center of the road (in feet) is the road surface 0.11 foot lower than the center? (Round your answer to one decimal place.) ft

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