Given points (x

In short, the process of obtaining a quadratic equation from its three given points involves three steps:

_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3}), three quadratic functions of the form ax^{2}+ bx + c = y can be formed:- y
_{1}= a(x_{1})^{2}+ b(x1) + c - y
_{2}= a(x_{2})^{2}+ b(x2) + c - y
_{3}= a(x_{3}3)^{2}+ b(x3) + c

^{2}+ bx + c and thus the quadratic function, whose graph passes through (x_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3}), is obtained. For example, given three points (1, 1), (-2, 1) and (-1, -1), the following three equations can be formed:- 1 = a(1)
^{2}+ b(1) + c - 1 = a(-2)
^{2}+ b(-2) + c - -1 = a(-1)
^{2}+ b(-1) + c

- a = 1
- b = 1
- c = -1

In short, the process of obtaining a quadratic equation from its three given points involves three steps:

- Form three equations (one equation from each point) form ax
^{2}+ bx + c = 0 - Solve the three equations simultaneously to get the values of a, b and c
- Put the values of a, b and c in the equation ax
^{2}+ bx + c = 0 to obtain the quadratic equation