Algebra 2 Companion Book, Volume 1

5.2.2 Curve Fitting with Quadratic Models (continued) Example 2 Writing a Quadratic Function from Data

Just as two points define a linear function, three noncollinear points define a quadratic function. The three coefficients of f ( x ) = ax 2 + bx + c , a , b , and c , can be found using a system of three equations, one for each point. The points do not need to have equally spaced x -values.

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