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August 21, 2014

August 21, 2014

Posted by **Sarah** on Tuesday, May 12, 2009 at 7:02pm.

Find the quadratic function y=ax^2+bx+c

1) 4a+2b+c=14

2) a+b+c=-1

3) 9a+3b+c= 35

equation 1&2 = 3a + b = 13

equation 1&3 = -5a +5b = -21

- MATH -
**Count Iblis**, Tuesday, May 12, 2009 at 7:42pmIt is easier if you write y as:

y = A (x-1)(x-3) + B(x-2)(x-3) +

C(x-2)(x-1)

y(1) = -1 ---->

2 B = -1 --->

B = -1/2

y(2) = 14 ------->

A = -14

y(3) = 35 --------->

C = 35/2

So, we have:

y = -14(x-1)(x-3) -1/2 (x-2)(x-3) +

35/2 (x-2)(x-1) =

3 x^2 + 6 x -10

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