Quadratic Functions

What is the standard form of a quadratic equation?

ax² + bx + c = 0 (where a ≠ 0)

What is the quadratic formula?

x = (−b ± √(b² − 4ac)) ÷ 2a

Solve for x: x² − 5x + 6 = 0

x = 2 or x = 3

What is the vertex form of a quadratic function?

y = a(x − h)² + k, where (h, k) is the vertex

What is the discriminant of a quadratic, and what does it tell you?

b² − 4ac; it tells you the number of real solutions (positive = 2, zero = 1, negative = 0)