11. The Gateway Arch in St. Louis, Missouri is a wonderful tourist attraction. The arch has a maximum height of 630 feet and covers a horizontal (ground) distance of 630 feet. The
arch reaches its maximum height at a horizontal distance of 315 feet.
a. Write the equation that represents this situation in the form that reveals the
mentioned key feature. Let d represent the horizontal distance the arch covers in
feet and H(d) represent the height of the arch at any given horizontal distance.
Let a =-0.01. (Hint: sketch and label the graph.)
b. Explain why you choose this particular form.