Maximum Value of a Quadratic Expression

Rarely Tested

Maximum Value of a Quadratic Expression

## Formula

For:

$$ax^2+bx+c$$

when:

$$a<0$$

the maximum value is:

$$\frac{4ac-b^2}{4a}$$

or:

$$-\frac{D}{4a}$$

It occurs at:

$$x=-\frac{b}{2a}$$

## Usage

- Used to find the greatest possible value of a quadratic expression.

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