Transformations of radical functions - Radical Functions and Equations

Do better in math today
Get Started Now

Transformations of radical functions

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=xy = \sqrt x , y=3x5y = {^3}\sqrt{{x - 5}}
y=243x8+11y = 2{^4}\sqrt{{3x - 8}} + 11
  • 1.
    Basic Radical Function: y=xy = \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=xy = \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.
Teacher pug

Transformations of radical functions

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.