It is known that the image of quadratic function y = x2 + BX + C passes through two points a (0,1), B (2, - 1). (1) find the value of B and C; (2) try to judge whether the point P (- 1,2) is on the parabola

It is known that the image of quadratic function y = x2 + BX + C passes through two points a (0,1), B (2, - 1). (1) find the value of B and C; (2) try to judge whether the point P (- 1,2) is on the parabola

(1) Substituting (0, 1), B (2, - 1) into y = x2 + BX + C, we get C = 14 + 2B + C = - 1, and the solution is b = - 3, C = 1; (2) from (1) we know that the quadratic function is y = x2-3x + 1 & nbsp; (1) substituting x = - 1 into (1), we get y = 1 + 3 + 1 ≠ 2; (2) point P is not on the graph of this function