Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road that is 32 feet wide is 0.4 foot higher in the center than it is on the sides (see figure). 32 ft ~0.4 fi Not drawn to scale (a) Find an equation of the parabola with its vertex at the origin that models the road surface shown in the image. (b) How far from the center of the road is the road surface 0.16 ft lower than in the middle? (Round your answer to one decimal place.) ft Additional Materials