# Quadratic Functions

### General Equation: y=x^2

## Graphing Quadratics

- When graphing quadratics, the graph has an intercept at (0,0)
- Its decreasing on the interval (-infinity, 0)
- Its increasing on the interval (0, infinity)
- Its symmetric with the y-axis.

## What are Solutions?

- The solutions of the Quadratic is when the y value is equal to 0.
- There are
*usually*two solutions.

## Transformations

a- a makes the parabola stretch or compress.

h- h makes it move left or right.

k- k moves it up and down.

## Examples

## x^2 + 3

In this equation, the k value is 3. The 3 will make it move up 3.

## (x+3)^2

In this equation, the h value is 3. That means it will move 3 to the left.

## -x^2

In this equation, the a value is negative. This will make it flip.

## Sounds Great Right?

By now I'm sure you understand. There are definitely things in the world I love more than quadratics, but if you enjoy them, feel free to work your little fingers to the bones while solving them!