The St. Louis Gateway Arch in St. Louis, Missouri was built as a monument to the
vision of Thomas Jefferson and of St. Louis's role in the westward expansion of the
United States. The shape of the arch can be approximated by a parabola.
1. Let y be the height of the arch, in feet, and let x be the distance from the left
base of the arch, in feet. Suppose a quadratic equation that models the shape
of the Gateway Arch is y=-0.00635x² + 4x. Graph the function. What do you
notice about the graph? How would you interpret the graph in terms of the
shape of the arch?