Roads Are Often Designed with Parabolic Surfaces to Allow Rain $a = 44$

question 131

Multiple Choice

Roads are often designed with parabolic surfaces to allow rain to drain off.A particular road that is 44 feet wide is 0.4 foot higher in the center than it is on the sides (see figure) .
Where $a = 44$ ft, $b = 0.4 \mathrm { ft }$
Find an equation of the parabola that models the road surface.(Assume that the origin is at the center of the road.)

• A) \(x ^ { 2 } = - 1210 y \text { or } y = - \frac { 1 } { 1210 } x ^ { 2 }\)
• B) \(y ^ { 2 } = - 1210 x \text { or } x = - \frac { 1 } { 1210 } y ^ { 2 }\)
• C) \(x ^ { 2 } = 1210 y \text { or } y = \frac { 1 } { 1210 } x ^ { 2 }\)
• D) \(y ^ { 2 } = 1210 \mathrm { x } \text { or } x = \frac { 1 } { 1210 } y ^ { 2 }\)
• E) \(x ^ { 2 } = 44 y \text { or } y = \frac { 1 } { 44 } x ^ { 2 }\)

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