find quadratic

Question

find the quadratic function that best fits this data

 

x  -10.2,  1.4,  7        y  100,  5,  56

Answer 1

y = ax^2 + bx + c, to determine coefficients you need linear algebra

 

           104.04             -10.2                  1

C=       1.96                  1.4                    1

           49                     7                       1

 

            100

D=        5

             56

 

Cx = D, 

 

        1.006

x  =   .660

        2.105

 

y = 1.006 x^2  +  .660 x  +  2.105