If you translate the parabola y = x ^ 2 + BX + C upward by 2 units, then it passes through the origin. If you translate it upward by 3 units, then it has only one intersection with the X axis, Find parabola

If you translate the parabola y = x ^ 2 + BX + C upward by 2 units, then it passes through the origin. If you translate it upward by 3 units, then it has only one intersection with the X axis, Find parabola

If the intersection of the parabola and the y-axis is (0, c) translated upward by 2 units, then the parabola passes through the origin, that is, C = - 2, the ordinate of the vertex of the parabola is (4 × 1 × C-B & # 178;) / 4 = (- 8-b & # 178;) / 4 if it is translated upward by 3 units, then there is only one intersection between the parabola and the x-axis