SOLUTION: The Gateway Arch in a city has the shape of a catenary (a U-shaped curve similar to a parabola). It can be approximated by the following model, where x and y are measured in feet.

Question 1139602: The Gateway Arch in a city has the shape of a catenary (a U-shaped curve similar to a parabola). It can be approximated by the following model, where x and y are measured in feet.
y = -(3/1000)(x + 400)(x - 400). How high is the arch?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
y = -(3/1000)(x + 400)(x - 400). How high is the arch?
--------
That is a parabola.
y = (-3/1000)*(x^2 - 160000)
With no x term, the vertex is at x = 0
y = (-3/1000)*(-160000)
y = 480 feet

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