Quadratic with Known Roots

Quadratic with Known Roots

## Formula

If the roots are $$\alpha,\beta$$ and the graph passes through $(x_1,y_1)$:

$$f(x)=a(x-\alpha)(x-\beta)$$

Therefore:

$$a=\frac{y_1}{(x_1-\alpha)(x_1-\beta)}$$

## Usage

- Used to determine the complete quadratic function when its roots and one point are known.