Quadratic Formula in Vertex Form

Quadratic Formula in Vertex Form

## Formula

The roots of:

$$a(x-h)^2+k=0$$

are:

$$x=h\pm\sqrt{-\frac ka}$$

## Conditions / Special Cases

For real roots:

$$-\frac ka\ge0$$

If:

$$-\frac ka>0$$

there are two distinct real roots.

If:

$$-\frac ka=0$$

there is one repeated real root.

If:

$$-\frac ka<0$$

the roots are non-real.

## Usage

- Used to solve quadratics directly when they are already in vertex form.