ax²+bx+c = f(x)
f(0) = a0² + b0 + c = 10 => c = 10
f(1) = a1² + b1 + c = = a + b + 10 = 10.65 => a = 10.65-10-b = 0.65-b
f(2) = a2² + b2 + c = 4a + 2b + 10 = 11.34225
f(3) = a3² + b3 + c = 9a + 3b + 10 = 12.079496
Insert a into f(2):
4(0.65-b) + 2b + 10 = 11.34225 = 2.6 - 4b + 2b + 10 = 2.6 - 2b + 10
=> 2b = 12.6 - 11.34225 = 1.25775
=> b = 1.25775/2 = 0.628875
Insert b into f(3):
9a + 3(0.628875) + 10 = 9a + 1.886625 + 10 = 12.079496
=> 9a = 12.079496 - 10 - 1.886625 = 0.192871
=> a = 0.192871/9 = 0.0214301111
f(x) = 0.02x^2 + 0.63x + 10
+104 
