According the U.S. Department of Justice, the following table gives the number (in thousands) of violent crimes committed in the given years.
Table
Year | Crimes |
2004 | 1360 |
2005 | 1391 |
2006 | 1418 |
2007 | 1408 |
2008 | 1393 |
2009 | 1326 |
2010 | 1246 |
(a) Let x = 4 correspond to the year 2004. Find a quadratic function f(x) = a(x − h)2 + k that models these data using (6, 1418) as the vertex and the data for 2009.
(b) Estimate the number of violent crimes in 2012.
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