The parabola y=a+bx+cx^2 goes through the points (x, y)=(1, 4) and (2, 8) and (3, 14). Find and solve a matrix equation for the unknowns (a, b, c).

a+b+c=4

a+2b+4c=8

a+3b+9c=14

a=2, b=1, c=1

(1, 1, 1), (1, 2, 3), (1, 4, 9)

What's the answer? Is it a=2, b=1, c=1? Or (1, 1, 1), (1, 2, 3), (1, 4, 9)?