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The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x months since the beginning of the year.

Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.

x 0 2 4 6 8 10
f(x) 10 15 18 19 18 15

f(x)=ax^2+bx+c