The average monthly temperature in (in F°) in San Antonio, Texas, and can be modeled by F(x)16.5sin[((pi)/6)(x−4)]+67.5

where x is the month and x=1
corresponds to January. Answer the following question in
complete sentences.
a) Graph f in the window [0,25] by [40,90].
b) Determine the amplitude, period, phase shift and vertical translation of f.
c) What is the average monthly temperature for
the month of December?
d) Determine the minimum and maximum average annual temperature in San Antonio and months that they occur.
e) What would be an approximation for the average annual temperature in San Antonio? How is this related to the vertical translation of the sine function in the formula for f.