1. Transforming reciprocal functions

2. DO NOW

3. Assignment #59  Pg. 503, #11-17 odd

4. Combined Variation

5. Learning Target  I can graph a reciprocal function, and transform it  I can stretch, compress and reflect reciprocal functions Success Criteria

6. Reciprocal Functions  Same as the inverse function  Only difference is that now we are now adding to, subtracting from and multiplying the function by things.

7. Parent Function of Reciprocal Function  Parent Function:  Same as the inverse function  We transform the parent function with the same a, h, and k as we would any other function (parabola, linear, exponential)

8. General Form of Reciprocal Limitation: x ≠ h  a: stretches and compresses  h: moves function left and right  k: moves function up and down

9. Vocabulary Branch x-axis is horizontal asymptote y-axis is vertical asymptote

10. Stretch:  Graph by making tables. State the domain and range.  Key: You need several positive and negative x- values to complete your graph xy -4-1/2 -3-2/3 -2 -2 xy 12 21 32/3 41/2

11. Stretch: Continued x-intercept: y-intercept: Asymptotes:

12. Compress:  Graph by making tables. State the domain and range.  Key: You need several positive and negative x- values to complete your graph xy -2-1/4 -1/2 -1/4-2 xy 1/42 1/21 1 21/4

13. Compress: Continued x-intercept: y-intercept: Asymptotes:

14. Reflect:  Graph by making tables. State the domain and range.  Key: You need several positive and negative x- values to complete your graph xy -31/3 -21/2 1 -1/22 xy 1/2-2 1 2-1/2 3-1/3

15. Reflect: Continued x-intercept: y-intercept: Asymptotes: xy -31/3 -21/2 1 -1/22 xy 1/2-2 1 2-1/2 3-1/3

16. DO NOW  Identify the asymptotes, and domain and range for the following graphs. 1.2.

17. Learning Target  I can graph a reciprocal function, and transform it  I can translate a reciprocal function, up and down, right and left. Success Criteria

18. Horizontal Shift:  Graph by making tables. State the domain and range.  Key: You need several positive and negative x- values to complete your graph xy -4-1/3 -3-1/2 -2 ERR 01 11/2 21/3

19. Horizontal Shift: Continued x-intercept: y-intercept: Asymptotes: xy -4-1/3 -3-1/2 -2 ERR 01 11/2 21/3

20. Vertical Shift:  Graph by making tables. State the domain and range.  Key: You need several positive and negative x- values to complete your graph xy -21/2 1 -1/20 0ERR 1/24 15 25/2

21. Vertical Shift: Continued x-intercept: y-intercept: Asymptotes: xy -21/2 1 -1/20 0ERR 1/24 15 25/2

22. Multiple Shifts:  Graph by making tables. State the domain and range.  Key: You need several positive and negative x- values to complete your graph xy -2-7/3 = -2.33 -5/2 =- 2.5 0-3 1/2-4 1ERR 3/20 2 3-3/2 = -1.5 5-7/4 = -1.75

23. Multiple Shifts: Continued x-intercept: y-intercept: Asymptotes: xy -2-7/3 = -2.33 -5/2 =- 2.5 0-3 1/2-4 1ERR 3/20 2 3-3/2 = -1.5 5-7/4 = -1.75

24. Coming up with equation from asymptotes

25. Please take a seat