Quadratics Review
Standard Form
Vertex Form
Equation: ax2+bx + c = 0
(where a is not equal to zero)
Vertex: Use the vertex formula (
Equation: f(x) = a(x-h)2 + k
Vertex: ( h , k )
−𝑏
−𝑏
, 𝑓 ( ))
2𝑎
2𝑎
−𝑏
2𝑎
Axis of Symmetry: x = h
Axis of Symmetry: x =
Methods for Solutions:
Solutions:
-Factoring
*Convert in to standard form and then use any of
-Graphing (substitute y=0 to find x-intercepts) the methods listed !
-Complete the Square
-Square Root Property
-Quadratic Formula
Other Important Information:
Finding the x- and y- intercepts
Discriminant
Formula:
b2- 4ac

To find the x-intercept(s), substitute:

To find the y-intercept, substitute:

x=0
Discriminant is Positive = Two Real Solutions

Discriminant is Zero =

Discriminant is Negative =
Quadratic Formula
Completing the Square
y=0
One Real Solution
Two Complex but not Real Solutions
−𝑏 ± √𝑏 2 − 4𝑎𝑐
𝑥=
2𝑎
ONE

“a” must be equal to

Use the SQUARE ROOT PROPERTY to solve!