Vertex Form and Quadratic Functions

It is simpler to graph manually.

It provides the vertex directly.

It eliminates the need for a graph.

It is easier to input into a calculator.

f(x) = ax^2 + bx + c

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

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

f(x) = ax + b

The y-intercept of the graph

The axis of symmetry

The direction of the parabola opening

The x-intercept of the graph

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

f(x) = ax + b

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

f(x) = ax^2 + bx + c

Fourth degree

First degree

Third degree

Second degree

x = b/2a

x = -b/2a

x = -a/2b

x = a/2b

x = a/2b

x = -a/2b

x = -b/2a

x = b/2a

Use the formula y = b/2a

Plug x into the vertex form equation

Plug x into the standard form equation

Use the formula y = -b/2a

x = 2

x = -1

x = 1

x = -2

(1, -2)

(-2, 1)

(2, 1)

(-1, 2)