1. The problem statement, all variables and given/known data Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road is that is 32 feet wide is .4 feet higher in in the center then on the sides. a) Find an equation if the parabola that models the road surface. (Assume that the orgin is at the center of the road.) b) How far from the center of the road is the road surface .1 feet lower then in the middle? 2. Relevant equations -None- 3. The attempt at a solution x^2=4py x^2= 4(.4)y x^2=1.6y ^part (a) Correct? x^2=1.6(.3) x^2=.48 x = .693 feet away from the center ^Part (b) -Correct? I kind of have a basis but I am a little wary about the answers.