The table shows the numbers of visitors y (in thousands) to the United States from China from 2012 through 2014.

(a) The data can be modeled by the quadratic function y = at2 + bt + c. Write a system of linear equations for the data. Let t represent the year, with t = 12 corresponding to 2012.
(b) Use the matrix capabilities of a graphing utility to find the inverse of the coefficient matrix of the system from part (a).
(c) Use the result of part (b) to solve the system and write the model y = at2 + bt + c.
(d) Use the graphing utility to graph the model with the data.

Transcribed Image Text:

Visitors, y (in thousands) Year 2012 | 1474 2013 | 1807 2014 | 2188