Quadratic Functions Essentials

Front

Discriminant formula

Back

b^2 - 4ac

Front

Discriminant > 0

Back

Two real solutions

Front

Discriminant = 0

Back

One real solution

Front

Discriminant < 0

Back

No real solutions

Front

Quadratic formula

Back

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Front

Vertex form of a quadratic

Back

y = a(x-h)^2 + k

Front

Standard form of a quadratic

Back

ax^2 + bx + c

Front

Vertex coordinates

Back

(h, k)

Front

Finding h in vertex form

Back

h = -\frac{b}{2a}

Front

Finding k in vertex form

Back

k = f(h)