1. Graphing Radical Functions.
What you’ll learn
To graph square root and other radical functions
Vocabulary
Radical function.
Square root function.

2. from the parent graph . This hold true for
Note:
The methods for graphing radical functions are similar to those presented for others functions in previous chapters.
Graphs whose equations have the form
are translated h units horizontally and k units vertically
from the parent graph This hold true for
functions of the form the graph of
the parent function You will use graphing
calculators to find the solutions for these problems.

3. Problem 1:
Write domain and range for each function?
How is the function related to the parent graph?
Problem 2:
Write domain and range for each function?
How is the function related to the parent graph?
Problem 3:
How is the function related to the parent graph?

4. Problem 1: Problem 2: Problem 3: The domain of both functions
are the set of nonnegative
numbers.
Range are
Both graphs are vertical translations
The ranges of both functions
are the set of nonnegative
numbers.
Domain:
Both graphs are horizontal
translations.
Problem 2:
Problem 3:
Multiply the y-coordinate by -1/2

5. Problem4: Solving a radical equation by graphing.
You can model the population of Corpus Christi, Texas, between the years 1950 and 2005 by the radical function, ,where x is the year Using the model in what year was the population of Corpus Christi 250,000.
Answer
A. 1980
B. 1983
C. 1987
D. 1990
Remember graph
Adjust the window to find where the graphs intersect.
Use INTERSECT feature to find the x-coordinate.

6. Problem 5: Graphing a Cube Root Function
Answer
Remember to graph the parent function
After the graph of the parent function you multiply the
y-coordinate by 2. this stretches the graph vertically.
The graph is translated the graph one unit to the left and
4 units down.

7. Problem 6: Rewriting a Radical Function.
How can you rewrite so you can graph it
using transformations?
Factor to get x-h in the radicand
The 2 means the graph is translated
horizontally 2 units to the left, what
is the meaning of 9?
Apply properties of the radicals
The 3 stretches the graph, a>1
is the graph of translated 2 units to the left.

8. Classwork odd Homework even
TB pg 418 exercises 7-36