Write the equation, in standard form, of the parabola containing the following points: (0,1), (1,5), (2,3)

1 answer

if y = ax^2+bx+c, then plug in your points to get
0a+0b+c = 1
a+b+1 = 5
4a+2b+1 = 3
Solve to get a = -3, b=7
y = -3x^2+7x+1