Would a truck that is 12 feet tall and 9 feet wide fit through all of the arches in Exercises 1–3? How could you fix any of the arches that are too small so that the truck would fit through?
Exercise 1–3
1. Write a function f(x) that describes a parabolic arch which is 20 feet tall and 14 feet wide at the base.
2. Write a function g(x) that describes a semicircular arch which is 20 feet tall. How wide is the arch at its base?
3. Write a function h(x) that describes the top part of a Norman arch which is 20 feet tall and 24 feet wide at the base. How high are the vertical sides of this arch?
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