# Quadratic Relations

### By: Bryan Gobin

## Table of Contents

__Chapter 4__

- What is a Parabola?

- y=x2 Relation

-Transformations of Quadratics

-y=a(x-h)2+K Relation

-y=a(x-r)(x-s) Relation

__Pictures__

__Chapter 5__

- Multiply Polynomials

- Special Products

- Common Factors

- Factoring Simple Trinomials

- Factoring Complex Trinomials

- Factor a Perfect Square Trinomial and a Difference of Squares

__Chapter 6__

- Maxima and Minima

- Solve Quadratic Equations

- Graph Quadratics Using X-Intercepts

- The Quadratic Formula

- Solving Word Problems Using Quadratic Equations

__Quadratic Math Help Links__

__Links__

__Review__

__The End__

## Chapter 4

## What is a Quadratic Relation?

Quadratic and Linear T-Charts

Investing Non-Linear Relations

## What is a Parabola?

Introducing Parabolas

Negative And Positive Parabolas

How to find a Parabola with a Given Vertex

## y=x2 Relation

The y=x2 Relation is the basic formula for a Quadratic Relation

y=x2 Parabola

Parts of a Parabola for y=x2

## Transformations of Parabolas

Horizontal Translations, Vertical Translations and Stretch are all different types of a Parabola's Transformations. The

**y=a(x-h)2+k**is a formula affects all of these types of Parabolas. The**a**affects the the Vertical Stretch, the**h**affects the Horizontal Translation and the**k**affects the Vertical Translation.Translations of Parabolas

Negative Parabolas and Zeros

## y=a(x-h)2+K Relation

The Parts of a Parabola and y=a(x-h)2=k Form

How to solve for "a" in y=a(x-h)2=k Form

## y=a(x-r)(x-s) Relation

Quadratic Relations y=(x-r)(x-s) Form

## Pictures

## Chapter 5

## Multiply Polynomials

5.1 Multiply Polynomials Video One

5.1 Multiply Polynomials Video Two

## Special Products

5.2 Special Products Video One

5.2 Special Products Video Two

## Common Factors

5.3 Common Factors Video

## Factoring Simple Trinomials

5.4 Factoring Simple Trinomials

## Factoring Complex Trinomials

5.5 Factoring Complex Trinomials Video One

5.5 Factoring Complex Trinomials Video Two

## Factor a Perfect Square Trinomial and a Difference of Squares

5.6 Factor a Perfect Square Trinomial and a Difference of Squares

## Chapter 6

## Maxima and Minima

6.1 Maxima and Minima

## Solve Quadratic Equations

6.2 Solve Quadratic Equations

## Graph Quadratics Using the X-Intercepts

6.3 Graph Quadratics Using the X-Intercepts

## The Quadratic Formula

6.4 The Quadratic Formula

## Solving Word Problems Using Quadratic Equations

6.5 Solving Word Problems Using Quadratic Equations

## Quadratic Math Help Links

Quadratic Math Help Links