Marijuana Use For the years 1991 through 2006, the percent M of high school seniors who have tried marijuana can be considered as a function of the time x according to the model
M(x) = −0.2(x − 10.3)2 + 48.968
where x is the number of years after 1990.
a. Describe the transformations of the graph of f (x) = x2 needed to obtain the graph of M.
b. Find and interpret M(1), M(2), M(4), and M(6).
c. Using the information in parts (a) and (b), sketch a graph of M.
d. The survey on which M is based was taken once during each of the selected years. State the domain of the related discrete function.
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