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 1139603: 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?
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Duplicate
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

This is a parabola with a maximum. The vertex
( max ) has:

and

The arch is 480 ft high

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