# Quadratics By Arnav

### Everything you need to know, about Quadratics.

## Table Of Contents

1.Intro and Terms you will need to know

2.What is Quadratics

3.Difference between Linear and Non Linear

4.Vertex Form and Graphing it

5.Finding Equation and Vertex Form

6.Factored Form

7.Binomials? What are they?

8.Multiplying Binomials

9.Common Factors and Simple grouping

10.Factoring by Grouping

11.Factoring Trinomials

12.Factoring Special Trinomials

13.Squared?

14.Completing the Square

15.Quadratic Formula? What is it?

16.Solving from Vertex Form

18.Quadratic Formula + Discriminant

19.Word Problems

20.Conclusion

## Intro and Terms you will need to know

__FACING UP AND DOWN PARABOLA__

- If equation is negative, parabola will be facing downwards with a maximum point. If parabola is positive, it will be facing upwards with a minimum point.

__X-INTERCEPT __

- Where the point crosses on the x axis

__VERTEX__

- The point the parabola starts from

__AXIS OF SYMMETRY __

- The x coordinate of the vertex

__OPTIMAL VALUE__

- The y-coordinate of the vertex. The highest or lowest point. May also be the vertex.

## What is Quadratics?

## Difference between Linear and Non Linear Relations

## Non Linear Relations When talking about non linear relationship, it would be a CURVE of best fit. The points are not in order. | ## Linear Relations Linear relations have a line of best fit. It would be a line of best fit. The points are all alined together. | ## Difference Linear relationships have equal FIRST DIFFERENCES. Quadratic relationships have equal SECOND DIFFERENCES. |

## Non Linear Relations

## Linear Relations

## Finding Equation and Analyzing Vertex form

## Factored Form

The zeroes are found by setting each "factor" equal to zero

So: x-r =0 means x=r and x-s=0 means x=s

Axis of symmetry is midpoint of the two zeroes so x=r+s/2

The optimal value is found by subbing the axis of symmetry value into the equation.

## What are Binomials?

## Multiplying Binomials

Video at : https://www.youtube.com/watch?v=kCG0ZvMZzjI

## Common Factors and Simple Grouping

Video at : https://www.youtube.com/watch?v=l8gU7G1rhJg

## Factoring By Grouping

## Factoring Trinomials

## Factoring Special Trinomials

## What does "SQUARED" mean?

## Completing The Square

## What is the Quadratic Formula?

## Solving From Vertex Form

Video at : https://www.youtube.com/watch?v=AOEUlH0KaxQ