Find the quadratic polynomialwhose graph passes through the points (0,0) (-1,1) and (1,1).

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- Feb 19th 2013, 05:17 PMCivy71Quadratic Polynomial
**Find the quadratic polynomial**whose graph passes through the points (0,0) (-1,1) and (1,1). - Feb 19th 2013, 05:34 PMjakncokeRe: Quadratic Polynomial
- Feb 19th 2013, 05:42 PMCivy71Re: Quadratic Polynomial
Thanks Dave, how did you arrive at that answer?

- Feb 19th 2013, 05:46 PMjakncokeRe: Quadratic Polynomial
I used solved the linear system 0 = f(0) = 1 = f(-1) = 1 = f(1) = .

Then i looked at the question, the points and slapped my self on my forehead and erased all my work to save embarrassment. - Feb 19th 2013, 06:59 PMHallsofIvyRe: Quadratic Polynomial
**Any**"quadratic polynomial" can be written in the form for some numbers, a, b, and c. When x= 0, y= 0 so so c= 0. Then when x= -1, y= 1 so or . Finally, when x= 1, y= 1 so or a+ b= 1.

Solve the two equations a+ b= 1 and a- b= 1 for a and b.