# Grade 10 Quadratics

### By: Jasmit Dhonaha

## Welcome to Quadratics

## Table Of Contents

__Types of Eqautions__

- Vertex Form
- Factored Form
- Standard Form

__Vertex Form__

- Axis of symmetry
- Optimal Value
- Transformations
- X-Intercept
- Step Pattern

__FACTORED Form__

- Expanding and Simplifying
- X-Intercept
- Axis Of Symmetry
- Optimal Value

__Standard Form__

- Solving Equations using Algebra Tiles
- Common Factors
- Simple Trinomials
- Complex Trinomials
- Perfect Squares
- Difference in Squares

__Word Problems__

- Motion Word Problems
- Number Problems

__Summary__

__Useful links__

- Desmos
- Mr. Anusic Youtube Channel
- A youtube channel

## Types of Equations

Factored Form- a(x-r)(x-s)

Standard Form- ax²+bx+c

## Vertex Form

## Graphing For The Axis of Symmetry

## Optimal Value

Example: y=a(x-2)²+4 - y=k - y=4

Therefore y=4 is your optimal value in this situation

## Transformations

The (-h) moves the vertex of the parabola left or right. When the (h) is negative move right and when the h in positive move right.

The (k) value moves vertex of the parabola up or down. When the (k) value is negative you move down and when it's positive you move up.

The (a) value stretches the parabola. If (a) is negative the parabola goes down and if it is positive it goes up.

Vertex is always your (h,k) value.

After this you can use the step pattern to find the rest.

## X-Intercepts

## Step Pattern

## Factored Form

## Expanding and Simplifying (Factored To Standard)

## X-Intercepts

## Axis of Symmetry

## Optimal Value

## Standard Form

## Solving Using Algebra Tiles

## Common Factoring

## Simple Trinomials

## Complex Trinomials

## Perfect Squares

Examples: (x+3)(x+3) or (x+3)²

If you want to know how to solve perfect squares please watch the video posted below.