1.Intro and Terms you will need to know

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

16.Solving from Vertex Form

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.

Quadratics means quadratic relationships. "Quad" means squared. Which means an exponent of 2 or a number needs to be squared in order to be a quadratic relation.

## Vertex Form and Graphing it

y = a(x - h)2 + k, where (h, k) is the vertex of the parabola. In y = a(x - h)2 + k, a effects the vertical stretch, h affects the horizontal stretch, k affects the vertical stretch and if a is negative there will be a reflection.

## Factored Form

In General, if y=a(x-r)(x-s)

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?

Binomials are an algebraic expression of the sum or the difference of two terms. For Example, 7x + 2 is a binomial.

## Multiplying Binomials

Vertex Form to Standard Form

Multiplying binomials

## Common Factors and Simple Grouping

Factoring will take us from Standard Form back to Factored Form

Common factors snd simple grouping

## Factoring Trinomials

Factoring will take us from Standard Form back to Factored Form

## What does "SQUARED" mean?

Squared means a number multiplied by it self. For example, the squared of 6 would be 6^2. It would be 6 x 6 = 36. So, 6^2 would equal 36.

## Completing The Square

This is how you get standard form into vertex form.

## What is the Quadratic Formula?

It helps us to find the the two x - intercepts

## Solving From Vertex Form

Solving for x

Solving from vertex form