# Radical functions and transformations

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##### Examples

###### Lessons

**Transformations of Radical Functions**

For each radical function,

- Describe the transformation(s) that should be applied to the graph of $y = \sqrt x$ in order to obtain the graph of the given radical function.
- Write the "Coordinate Mapping Formula", then sketch the graph.
- State the domain and range.

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###### Topic Notes

It is always so much easier to tell the domain and range of a function from its graph. In this lesson, we will learn how to graph out a radical function by using a table of value and transformations.

Radical functions: a function which contains a variable inside a root.
For example: $y = \sqrt x$ , $y = {^3}\sqrt{{x - 5}}$

$y = 2{^4}\sqrt{{3x - 8}} + 11$

$y = 2{^4}\sqrt{{3x - 8}} + 11$

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