The Gateway Arch in St. Louis, MO, is 630 feet high and 630 feet wide at ground level and can be modeled with the equation of a parabola.
a) Find the equation that provides a model for the Gateway Arch.
b) If a banner is to be hung across the arch at a height of 100 feet, how long will the
banner have to be?
c) How high is the arch 75 feet from either base?
d) If a coin was dropped straight down from the arch at a height of 400 feet, how far
from the center of the arch would it hit the ground (assuming its path not affected
by any outside force other than gravity)?