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