1. 1. Write the parabola in vertex form:

2. October 7 th

5.  A square root function is a function containing a square root with the independent variable in the radicand.  The easiest way to graph a function is to create an x and y table. Graph y = xy 0 1 2 4 9

6.  Can you take the square root of a negative number??? So … when you are graphing square roots there is no need for you to include negative x values in your table.  Remember taking the square root of a negative number creates no real roots, so you will be unable to graph non-real roots.  So to find what number to start with we need to find the x-value that will give you a real number answer

7. Set the radicand equal to zero. Solving will provide us with the start value. For example what if we had We would set x – 2 = 0 and solve for x. Radicand

8.  To complete the x/y table, we need to decide where to start.  Set the RADICAND equal to 0.  x + 7 = 0, Start with x = -7

10. Given the Radicand: Set up an inequality showing the radicand is greater than or equal to 0. Solve for x. The result is your DOMAIN!

12. Domain:Range: xy xy

13. Domain:Range: xyxy

14. Domain:Range: xy xy

15. Domain:Range: xyxy

16.  We are going to look back at the graphs we made and compare/contrast the similarities and differences among their graphs and functions.

17. Domain:Range: xy xy

18. When you ADD or SUBTRACT under the radical, you shift in the opposite direction. xy 40 51 82 133 204

19. xy 00.51 22 4. 5 3 84 xy 00 1.51 32 13.53 244 When you DIVIDE or MULTIPLY under the radical, the graph is STRETCHED out side to side or COMPRESSED.

20. When you ADD or SUBTRACT outside of the radical, you shift UP or DOWN. xy 0-5 1-4 4-3 9-2 16 xy 03 14 45 96 167

21. 1. Subtract under the radical 2. Add under the radical 3. Multiply under the radical 4. Divide under the radical 5. Add outside of the radical 6. Subtract outside of the radical a) Move up b) Move right c) Move down d) Move left e) Stretch f) Compress

22.  Worksheet – Don’t do the top three on the back of the worksheet