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A Small City Conducts a Population Census Every Two Years; (0,2.21),(4,1.95)(0,2.21),(4,1.95)

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A small city conducts a population census every two years; the census was begun in the year 2000. The population declined in the early 2000s but began to grow in later years. The table shows the population, in hundred thousands, for several years with 2000 represented by year 0,2002 by year 2 , and so on. Use the data points (0,2.21),(4,1.95)(0,2.21),(4,1.95) , and (8,2.30)(8,2.30) to find a quadratic function defined by f(x)=ax2+bx+cf(x)=a x^{2}+b x+c that models the data. Graph ff together with the data.
 A small city conducts a population census every two years; the census was begun in the year 2000. The population declined in the early 2000s but began to grow in later years. The table shows the population, in hundred thousands, for several years with 2000 represented by year 0,2002 by year 2 , and so on. Use the data points  (0,2.21),(4,1.95) , and  (8,2.30)  to find a quadratic function defined by  f(x)=a x^{2}+b x+c  that models the data. Graph  f  together with the data.

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