Radical functions and transformations
Radical functions and transformations
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.
Lessons
Notes:
Radical functions: a function which contains a variable inside a root.
For example: $y = \sqrt x$ , $y = {^3}\sqrt{{x  5}}$
$y = 2{^4}\sqrt{{3x  8}} + 11$

1.
Basic Radical Function: $y = \sqrt x$

2.
Transformations of Radical Functions
For each radical function,
i) 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.
ii) Write the "Coordinate Mapping Formula", then sketch the graph.
iii) State the domain and range.
c)
$ y = \sqrt x$

d)
$\frac{1}{3}y = \sqrt {2x}$

e)
$y =  2\sqrt {\frac{x}{3}  1} + 5$