SOLUTION: i have to find the quadratic function {{{y=ax^2+bx+c}}}whose graph passes through the given points: (-1,6)(1,4)(2,9). I know the "x"s in the quadratic equation will correspond to t

Question 378563: i have to find the quadratic function whose graph passes through the given points: (-1,6)(1,4)(2,9). I know the "x"s in the quadratic equation will correspond to the x-coordinates in the three ordered pairs, and I also know this will be a quadratic system. I took a stab at it, but I'm doubtful about it. What i have so far is:

which i THINK is

Ok. that's as far as i got, and it's dubious at best!! Please help! how do i denote the quadratics using the given ordered pairs, then how do i arrive at just one quadratic equation?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
you're almost finished

you've generated a system of three equations in a, b, and c

just solve the system for the three values

6 = a - b + c

4 = a + b + c

9 = 4a + 2b + c
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