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Quadratic Functions
by Shannon Jarret
# Quadratic Functions

## Standard Form
y=a(x-h)²+k

### Graphing

### (h,k) = vertex

## General Form
y=ax²+ bx + c

### Graphing

### Completing the square

### Univariate polynomial
equation with degree 2

### c is the y-intercept

## Quadratic formula

### roots/zeros

### discriminant

## Quadratic Equation

### set function equal to 0

0.0 stars - reviews
range from 0 to 5

domain and range

transformations, changes in a, changes in h, h>0, parabola shifts right, h<0, parabola shifts left, changes in k, k>0, parabola shifts up, k<0, parabola shifts down

function, Vertical line test

if a>0, vertex is the minimum

if a<0, vertex is the maximum

x=h is the axis of symmetry

domain and range

transformations, changes in a (vertical stretch), if a>0, the parabola opens up, if a<0, the parabola opens down, if -1<a<1 and a≠0, the parabola widens, if a>1 or a<-1, the parabola narrows, changes in b, b<0, vertex moves down and right, b>0, vertex moves down and left, changes in c, c>0, parabola moves up, c<0, parabola moves down

function, vertical line test

b²-4ac, if b²-4ac=0, we have one distinct root, if b²-4ac>0, we have two dinstinct roots, if b²-4ac<0, we have two imaginary roots