Quadratic function calculator

It can quickly calculate quadratic functions (generally quadratic), reducing the tediousness of manual calculations. It is easy to use. It is a green single-file version and can be used without installation.

General expression of quadratic function
General formula of quadratic function (y=ax2+bx+c)
Given three points, find the analytical formula of the quadratic function (]]y=ax^2b]i]]]+bx+cb]i])
The analytical formula of the quadratic function can be set as: y=ax2+bx+c
Now that you know 3 points, you can get 3 equations by substituting these analytical expressions respectively.
With 3 equations and 3 unknowns, you can find a, b, and c.
Also, if 2 of the 3 intersection points are the intersection points of the quadratic function and the x-axis
Then, the analytical formula of this quadratic function can be set as: y=a (x-x1) (x-x2) (x1, x2 are the coordinates of the two intersection points of the quadratic function and the x-axis), and it can be calculated based on another point Find the analytical expression of the quadratic function
If you know that the vertex coordinates are (h, k), you can set: y=a(x-h)2+k, and based on another point, you can find the analytical formula of the quadratic function