What is the point of view of quadratic equation of one variable?

What is the point of view of quadratic equation of one variable?

1. The ordinate of the intersection of the image and the y-axis is 1. If you draw a sketch, you can see that when x = 0, y = 1, you can get y = C when x = 0, so C = 1; the two equations are known, and can be solved by the relationship between the root of the quadratic equation of one variable and the coefficient X1 + x2 = B / 2a, X1 * x2 = - C / 2a, a = 1 / 6, B = 2 / 3
2. It is a quadratic function of one variable image vertex coordinate formula (,), the axis of symmetry is a straight line
As long as - B / 2A = 1, (4ac-b ^ 2) / 4A is less than 0, a and B can be calculated by yourself
3. The knowledge point is the same as above
4. For the image of quadratic function (parabola) with the same shape, the difference lies in the constant term C, that is, (AX & # 178; + BX + C) - (1 / 2x & # 178; + 3) = C-3, and the specific point is a = 1 / 2, B = 0. Then, the analytic formula of quadratic function can be obtained by taking the symmetry axis as a straight line x = - B / 2A = - 2. To find the coordinates of the two intersections of image and X axis is to solve the equation, and pay attention to the form of point coordinates