Quadratic Through Given Points

Quadratic Through Given Points

## Formula

A quadratic function can be written as:

$$f(x)=ax^2+bx+c$$

For three given points:

$$(x_1,y_1),(x_2,y_2),(x_3,y_3)$$

the coefficients satisfy:

$$ax_1^2+bx_1+c=y_1$$

$$ax_2^2+bx_2+c=y_2$$

$$ax_3^2+bx_3+c=y_3$$

## Usage

- Used to determine a quadratic function passing through three specified points.