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

question 47

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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Definitions:

Miscarriage

The spontaneous loss of a pregnancy before the fetus can survive outside the uterus, typically before 20 weeks of gestation.

Stillbirth

is the birth of an infant who has died in the womb after 20 weeks of pregnancy, before or during delivery.

Pregnancy Loss

The loss of a pregnancy before the fetus can survive outside the uterus, also known as miscarriage.

Amniocentesis

A medical procedure used in prenatal diagnosis, involving the extraction of a small amount of amniotic fluid for testing.