Radical functions and transformations

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

0/5
?
Examples
Lessons
  1. Transformations of Radical Functions
    For each radical function,
    1. 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.
    2. Write the "Coordinate Mapping Formula", then sketch the graph.
    3. State the domain and range.
    1. y2=x+3y - 2 = \sqrt {x + 3}
    2. y=xy = \sqrt { - x}
    3. y=x - y = \sqrt x
    4. 13y=2x\frac{1}{3}y = \sqrt {2x}
    5. y=2x31+5y = - 2\sqrt {\frac{x}{3} - 1} + 5
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=xy = \sqrt x , y=3x5y = {^3}\sqrt{{x - 5}}
y=243x8+11y = 2{^4}\sqrt{{3x - 8}} + 11