Find the quadratic function that fits the following set of data points. ​{(−4​,59​),(5​,41​),(2​,−7​)}

Answer 1

The quadratic is Ax² + Bx + C

The coefficients can be determined from this set of simultaneous equations:

16A - 4B + C = 59

4A + 2B + C = -7

25A + 5B + C = 41

It is fairly easy to eliminate C, leaving a fairly messy pair of simultaneous equations in A and B.

Good luck!