1. Objective: Students will be able to graph and transform radical functions.

2. Radical Functions Radical function – a function whose rule is a radical expression. Square root function – a radical function involving a square root. Square root parent function: f(x) = √x

3. The Parent Radical Function Example 1: Graph the function, and identify its domain and range. f(x) = √x Domain: Range: xf(x) = √x(x, f(x)) 0 1 4 9

4. Example 2 f(x) = Domain: Range: xf(x) =(x, f(x)) -12 -5 -4 -3 4

5. Transformations of Square Root Functions Vertical translation: f(x) = √x + k +k = up; - k = down Horizontal translation: f(x) = √(x – h) (x – h) = right; (x + h) = left Reflection: Across x- axis: f(x) = - √x Across y- axis: f(x) = √-x

6. Directions: Using the graph of f(x) = √x as a guide, describe the transformation and graph each function. Example 3: f(x) = √x + 3 Transformation: Example 4: f(x) = √(x – 2) Transformation:

7. Example 5: f(x) = -√x – 1 Transformation(s):

8. Your turn… Example 6: f(x) = √-x – 4

9. Homework for tonight Homework # ____ Textbook pg. 372 # 24, 30, 31, 35