Quadratic+Equations

__**Quadratic Equations**__

__ **Standard form**: __ // ax^2 + bx + c = 0

Parabola - the graph of a quadratic function is a U-shaped curve.//

x= -b/2a you take the x and subsititute it in the equation to get y.
 * Axis of semmetry** - the fold or line that divides the parabola into two matching halves.
 * Vertex**- the highest or lowest point of a parabola.

To find the **maximum** and **minimum** you have to see if the a > 0 or a < 0
 * a > 0 - the parabola will open upward
 * a < 0 - opens downward



To graph a parabola you need to plot points by subsitituting in values for a variable "x",then solve for the other value "y".


 * __Solving Quadratic Equations by Graphing

Solving Quadratic Equations by Factoring__** To solve a quadratic equation by factoring you **__ MUST __** have it in the form

ax ² + bx + c = 0 //x//2 + 5//x// + 6 = 0 **

//x//2 + 5//x// + 6 = (//x// + 2)(//x// + 3) (//x// + 2)(//x// + 3) = 0 //x// + 2 = 0 or //x// + 3 = 0 //x// = –2 or //x// = – 3


 * The solution of //x//2 + 5//x// + 6 = 0 is //x// = –3, –2 . **

__**Solving Quadratic Equations by Square Roots**__ to solve by square roots you have to get x^2 alone than square both sides

** //x//2 – 4 = 0 ** //x//2 – 4 = 0 //x//2 = 4 //x// = ± 2
 * the solution is //x// = ± 2 **

For extra help go to these other links
 * __Links__**

[|**http://www.mathwarehouse.com/**] [|**http://www.purplemath.com/index.htm**]