Quadratic

Quadratics

Factor

Trinomials

Simple Trinomials

Complex Trinomials

Can be written as

Can be written as

Find two digits in which the product equals to the c value and the sum equals to the b value

To solve

Binomials

Polynomial with 4 terms

Find Greatest Common Factor and group

To solve

Quadratic Formula

Can be written as

Use only if other two methods don't work

To solve

Sub in a, b, and c value

Perfect Squares

Difference of the Squares

Can be written as

Equations

Vertex Form

Standard Form

Factored Form

Can be represented by

Can be written as

Can be written as

Can be written as

Parabola

Vertex (h,k)​​​​​​

Complete the square

The highest or lowest point of a graph

Graphing

Table

k value

h value

determines

determines

Axis of Symmetry

Max/Min value

Direction of Opening

X-intercept

Zeros

is also

also in

Y-intercept

First Difference

Second Difference

determines

determines

Linear

Quadratic

If a is equal to 1

If a is not equal to 1

To solve

Can be converted into

Using

for example

for example

If second difference is constant

If first difference is constant

If a value is negative, opens downward. If a value is positive, open upwards.

for example

for example

for example

Multiply a and c values.

for example

for example

Transitions

Vertical translation

Horizontal Translation

Compressed/Stretched

Reflection

If a < 1, the line is compressed. If a > 1, the line is stretched

If h > 0, parabola shifts to the right. If h<0, parabola shifts to the left.

Represented by h value

Represented by k value

If k > 0, parabola moves. If k < 0, parabola moves down.

Step Pattern (1,3,5,7)

Real life example

Real life example

Real life example

Real Life example

Is determined

Represented by