In Problem 60 of Section 6.9 you were asked to find the equation of the Gateway Arch

Question:

In Problem 60 of Section 6.9 you were asked to find the equation of the Gateway Arch in St. Louis, Missouri.
a. Find the equation of a parabola with the properties that its vertex is at (0, 630) and it intersects the x-axis at ±315.
b. In the same graphing window, plot the catenary which is the Gateway Arch and the parabola you found in (a).
c. Approximate (to the nearest foot) the largest vertical distance between the catenary and the parabola.