The table below lists the number of trademarks renewed, in thousands, in the United States, represented in terms of the number of years since 2006.
Years, x Number of Trademarks
Renewed (in thousands)
2006, 0 .......................... 40
2007, 1 .......................... 48
2008, 2 .......................... 40
a) Use a system of equations to fit a quadratic function f 1x2 = ax2 + bx + c to the data.
b) Use the function to estimate the number of trademarks renewed in 2009.