Households The numbers N (in millions) of households in the United States from 2003 through 2010 can be approximated by
N = −0.068(x − 13.68)2 +119, 3 ≤ t ≤ 10
where t represents the year, with t = 3 corresponding to 2003. (Source: U.S. Census Bureau)
(a) Describe the transformation of the parent function f(x) = x2. Then use a graphing utility to graph the function over the specified domain.
(b) Find the average rate of change of the function from 2003 to 2010. Interpret your answer in the context of the problem.
(c) Use the model to predict the number of households in the United States in 2018. Does your answer seem reasonable? Explain.
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