1. Warm – up #2

2. Homework Log Thurs 11/19 Lesson 4 – 2 Learning Objective: To determine symmetry & graph by translation Hw: #403 Pg. 228 #1 – 35 odd

3. 11/19/15 Lesson 4 – 2 Symmetry & Translation Advanced Math/Trig

4. Learning Objective To determine symmetry To graph by transformation

5. Symmetric with respect to: (2, 4)(–2, 4) y-axis (4, 2) (4, –2) (1, 1) (–1, –1) x-axisorigin (x, y)  (–x, y)(x, y)  (x, –y)(x, y)  (–x, –y) When plugging in with (–), should get equivalent equation!

6. Hints for checking for symmetry

7. Symmetry 1. Given the portion of the graph. Complete the graph so it’s symmetric with respect to the y–axis. (x, y)  (–x, y) (0, 3)  (0, 3) (1, 0)  (–1, 0) (1, 0) (0, 3) (1, 0) (0, 3) (–1, 0)

8. Symmetry 2. Given the portion of the graph. Complete the graph so it’s symmetric with respect to the x–axis. (x, y)  (x, –y) (0, 3)  (0, –3) (1, 0)  (1, 0) (1, 0) (0, 3) (1, 0) (0, 3) (0, –3)

9. Symmetry 3. Given the portion of the graph. Complete the graph so it’s symmetric with respect to the origin. (x, y)  (–x, –y) (0, 3)  (0, –3) (1, 0)  (–1, 0) (1, 0) (0, 3) (1, 0) (0, 3) (0, –3) (–1, 0)

10. Hints for checking for symmetry

11. Test for Symmetry & Graph  Equivalent Eq’n! Yes!

12. Test for Symmetry & Graph  Equivalent Eq’n! Yes!  NO!

13. Test for Symmetry & Graph xy –2 –1 16 1 1 2 1 ( 0 0)

14. Test for Symmetry & Graph  NO!  Equivalent Eq’n! Yes!  NO!

15. Test for Symmetry & Graph  NO!  Equivalent Eq’n! Yes!  NO! (0, 0) (1, 1) (–1, –1)

16. Stretching

17. Reflection (1, 1) (–1, –1) (1, –1) (–1, 1)

18. Translation

19. Translation Inside of parenthesis, opposite sign

20. Transformation 12. y = f (x) is shown. Sketch y = 2 f (x) Sketch y = f (x) – 2 Sketch y = f (x + 5) Sketch y = – f (x)

21. Ticket Out the Door Simplify

22. Homework #403 Pg. 228 #1 – 35 odd