2.1 Analyze Graphs of Quadratic Functions

Quadratic Function:

a 2nd degree polynomial function

General Form of a Quadratic Function

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

Axis of Symmetry (General Form)

x = -b/2a

Vertex (General Form)

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

Standard Form of Quadratic Function

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

Axis of Symmetry (Standard Form)

x = h

Vertex (Standard Form)

(h, k)

Convert General Form to Standard Form

Complete the Square

Complete the Square

1. Factor "a" out of 1st two terms
2. Complete the square
a. Half of linear coefficient
b. Square it
c. Whatever we add, we must also balance
3. Factor and simplify