In the form of ax² + bx + c = 0

Where a, b, and c are constants

a ≠ 0

Written as ax² + bx + c = 0

Commonly used for solving

When the discriminant (b² - 4ac) > 0

When the discriminant (b² - 4ac) = 0

When the discriminant (b² - 4ac) < 0

Finding factors of a quadratic expression

Setting factors equal to zero

Rearranging the equation into a perfect square

Solving for x

x = [-b ± √(b² - 4ac)] / (2a)

Applicable to all quadratic equations

Opens upwards if a > 0

Opens downwards if a < 0

The highest or lowest point of the parabola

Located at (-b/(2a), f(-b/(2a)))

Vertical line that divides the parabola

Given by x = -b/(2a)

Points where the graph crosses the x-axis

Solutions to the equation

Point where the graph crosses the y-axis

Given by f(0) = c