Question

The Gateway Arch in a city has the shape of a catenary (a U-shaped curve similar to aparabola). It can be approximated by the following model, where x and y aremeasured in feet.y = -(3/1000)x + 400)x - 400). How high is the arch?

Answer 1

Answer

The arch is 480 feet high

Explanation:

The graph of the given function

$y=-(\frac{3}{1000})(x-400)(x+400)$

is given below

The arch is 480 feet high