# Quadratic Relations Guru

### Know everything there is about Quadratic Relations here!

## Why do we need Quadratics in our life?

"Why do we need Quadratics in our life?". This question is frequently asked by students all around the world. Quadratics can be used for so many different things! With quadratics, you can graph the flight path of an object. For example, if you throw a ball into the air and want to know what time it will fall to the ground, you would use Quadratics.

## Table of Contents

As you read through this website, there are

**3**main forms that you will learn about. Everything else evolves around these three important forms in Quadratics.**Standard Form****Factored Form****Vertex Form**

## Equation #1 - Standard Form: ax² + bx + c

The

**Standard Form**of a Quadratic Equation looks like this:## Example:

2x2 + 5x + 3 = 0

## Zeroes

## Axis of Symmetry

## Completing the Square

## How to Factor?

## Common Factoring

Common Factoring Tutorial

## Factoring Simple Trinomials

Factoring Simple Trinomials

## Factoring Complex Trinomials

Factoring Complex Trinomials

## Equation #2 - Factored Form: y=a(x-r) (x-s)

**(**

a = 1, r = -3, s = -4

*x*– 3)(*x*– 4)a = 1, r = -3, s = -4

## Graphing Using Factored Form

3.5 Graphing from Factored Form

## Equation #3 - Vertex Form: y = a(x - h)² + k

**h is the 'x' value and k is the 'y' value**

## Transformations

A - Vertical stretch/ compression

K - Vertical translation

H - Horizontal translation

## Graphing Using Step Pattern

3.3 More Graphing from Vertex Form