Example of parabolic approximations



This is an example of two parabolic approximations over a set of 21 points. Both approximations use 7 points, i.e. m=7. The first approximation is on the first 7 points. The second is on the points 15 to 21. The set of points is: 

  x = [2, 4, 5, 8, 11, 9, 10, 7,
       3, -2, -2, -4, -1, 0, 3,
       2, 5, 9, 8, 8, 6]
graph of approximations