1. Square Root Functions and Geometry
Chapter 10
Square Root Functions and Geometry

2. 10.1Graphing Square Roots

3. Model Graph of a Square Root
Use a x, y table to graph it

4. The Graphs We Know

5. Domain of a Square Root Function
Radicand cannot be negative
Set the radicand ≥ 0
Solve for x

10. Shifts in Square Root Graphs
Vertical Shift:
*Notice K is NOT under the square root
*Move the graph up k units if positive
*Move the graph down k units if negative

11. Explain the Shift
Move the graph 6 units down

13. Shifts in Square Root Graphs
Horizontal Shifts: Right h units: Left h units:
Notice it is all under the square root sign

14. Explain the shift of
Five units to the left

15. Compare the graph of Under the x axis Translate one unit to the left
Translate 3 units down

16. 10.1 Extension Rationalizing the Denominator

17. A radical is simplified when:
The radicand contains no perfect square factors.
A fraction cannot have a radical in the denominator.
Radicand cannot include a fraction.

18. Rationalizing the denominator
YOU CAN NOT HAVE A RADICAL IN THE DENOMINATOR!!
To get rid of it multiply by the radical over itself

19. Examples

20. Example

21. Example

22. Example:

23. Example:

24. Conjugates

26. Assignment: RPJ: Page 268 (1-7) all TB: Page 508 (1-9,11-13) all