An arch in the shape of a parabola is 20 feet wide at it's base and 15 feet tall at it's maximum height.
Let be the height, in feet, of the arch feet from the left-hand side.
find a formula for h(x)
find a relevant domain and range for h(x)
The base is 20 feet wide. Hence (20,0) is on the curve
0=15 –k(202) or k =15/400 =3/80
Hence the equation of the parabola is y =15-3/80* x2
Domain is (-infinity, infinity)
Range is (-infinity, 15)
Maximum for y is 15 when x=0
Minimum for y is -infinity
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