1. Warm Up Identify the domain and range of each function.
1. f(x) = x2 + 2
2. f(x) = 3x3
Use the description to write the quadratic function g based on the parent function f(x) = x2.
3. f is translated 3 units up.
4. f is translated 2 units left.

2. Objectives Vocabulary Graph radical functions and inequalities.
Transform radical functions by changing parameters.
Vocabulary
radical function
square-root function

3. Radical Functions

4. The graphs of radical functions can be transformed by using methods similar to those used to transform linear, quadratic, polynomial, and exponential functions. This lesson will focus on transformations of square-root functions.

5. Example 2: Transforming Square-Root Functions
Using the graph of as a guide, describe the transformation and graph the function.
f(x) = x
g(x) = x + 5

6. Example 3: Applying Multiple Transformations
Using the graph of as a guide, describe the transformation and graph the function
f(x)= x

7. Example 4: Writing Transformed Square-Root Functions

8. Example 5: Graphing Radical Inequalities
Graph the inequality

9. Example 5b
Graph the inequality.
HW: pages #24-38 & 44-50even, 39-41, 51-54, 64,66, 73-76