Find an example of a parabolic, circular, or Norman arch (or all three) on your campus. Measure the dimensions and then write the equation for the arch in a manner similar to Exercises.
Exercises
Write a function f (x) that describes a parabolic arch which is 20 feet tall and 14 feet wide at the base.
Write a function f (x) that describes a parabolic arch that is 25 feet tall and 30 feet wide at its base.
Write a function g (x) that describes a semicircular arch that is 25 feet tall. How wide is the arch at its base?
Write a function g (x) that describes a semicircular arch that is 40 feet tall. How wide is the arch at its base?
Write a function h (x) that describes the top part of a Norman arch that is 20 feet tall and 24 feet wide at the base. How high are the vertical sides of this arch?
Write a function h (x) that describes the top part of a Norman arch which is 32 feet tall and 44 feet wide at the base. How high are the vertical sides of this arch?
Would a truck that is 12 feet tall and 9 feet wide fit through all of the arches in Exercises?
Exercises
Write a function f (x) that describes a parabolic arch which is 20 feet tall and 14 feet wide at the base.
Write a function g (x) that describes a semicircular arch that is 25 feet tall. How wide is the arch at its base?
Write a function h (x) that describes the top part of a Norman arch that is 20 feet tall and 24 feet wide at the base. How high are the vertical sides of this arch?
Would a truck that is 13 feet tall and 10 feet wide fit through all of the arches in Exercises?
Exercises
Write a function f (x) that describes a parabolic arch that is 25 feet tall and 30 feet wide at its base.
Write a function g (x) that describes a semicircular arch that is 40 feet tall. How wide is the arch at its base?
Write a function h (x) that describes the top part of a Norman arch which is 32 feet tall and 44 feet wide at the base. How high are the vertical sides of this arch?
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