SOLUTION: Roads are 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. Find the equ

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Question 946128: Roads are 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. Find the equation of the parabola that models the road surface by assuming that the vertex of the parabola is at the origin. need help to solve please
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let's call the middle of the road (0,0).
The other point of the road is (32,-0.04).
It's negative because it's lower than the center to allow for drainage.
So in vertex form,

Using the point,

So then,



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