# Math Mayhem!!

### by Emma Murphy

## Square Root Function Transformations

The parent function of a square root is shown below.

The transformation equation of shown below.

## The Rules

The transformation equation of a square root function follows several rules.

If a is negative, there is a reflection across the x axis.

if | a | is greater than one, the graph is stretched vertically.

if | a |is between 0 and 1, the graph is compressed vertically.

if h is positive, the graph is translated h units to the right.

if h is negative, the graph is translated | h | units to the left.

if k is positive, the graph is translated k units up.

if k is negative, the graph is translated | k | units down.

## Example

The variable values and transformations are shown in the middle.

On the right, the equation in red represents the parent function and the blue represents the transformed function.

## Synthetic Division

## What's to Come?

Quiz 4: Tuesday, 12/8

Test 2: Thursday, 12/10

## Sources

Desmos

Algebra 2 Textbook

Google Images