Quadratics

Factored Form

which is

Y=a (x-s) (x-t)

In which

the "s" value

Is one of the

X-intercepts

In which

The "t" value

Is one of the

Standard Form

which is

Y=ax2+bx+c

and

if a<0

then the parabola

the vertex for this graph is minimum

and

if a>0

then the parabola

the vertex for this graph is maximum

and to find the

axis of symmetry

use formula

Vertex Form

which is

x= a(x-h)2 +k

And

If a<0

then the parabola

And

if a>0

then the parabola

In which

the "h" value

is the

axis of symmetry

is

the "x" value of the vertex

so

Vertex=(h,k)

In which

the "k" value

is

the "y" value of the vertex

so

Using

The step pattern

Which gives us the

Table of values

Which gives

The coordinates of the parabola

Which show if it is

Linear, quadratic or no relation

and if

The first differences are the same

It is

and if

None of the differences are the same

There is

No relation

and if

The second differences are the same

It is

Which is

1,3,5

Requires you to

Multiply

the step pattern by the

"a" value

A

Parabola

Shows the

X-intercepts

Which are the

Roots

Shows the

Vertex

Which is also the

Optimal Value

By grouping

To Factor Polynomials that

Have no common factor

By method of Decomposition

To convert

Standard form

Into

Factored form

To

Solve the Quadratic equation

By using the quadratic formula

Which finds the

Roots

To

By multiplying two binomials

Creates

Special products of binomials

Such as

Difference of square

Such as

Perfect square