1. Work on worksheet with 8 multiple choice questions.
Warm UP!
Work on worksheet with 8 multiple choice questions.

2. Copyright © 2009 Pearson Education, Inc.

3. Trig Curves Transformed
Graph Sine, Cosine Functions

4. Variations of the Basic Graphs
We are interested in the graphs of functions in the form
y = A sin B (x – h) + k
and
y = A cos B (x – h) + k
B careful!
where A, B, h, and k are all constants. These constants have the effect of translating, reflecting, stretching, and shrinking the basic graphs.
Copyright © 2009 Pearson Education, Inc.

5. Trig Curves Transformed
Graph Sine, Cosine, and Tangent Functions
Equation of a Sine Function
Amplitude
Period
Complete Cycle

6. Trig Curves Transformed
Graphing a Sine Functions
Draw one cycle of the function’s graph.
Amplitude
Period

7. Trig Curves Transformed
Graphing a Sine Functions
Draw one cycle of the function’s graph.
Amplitude
Period

8. Trig Curves Transformed
Graphing a Sine Functions
Draw one cycle of the function’s graph.
Amplitude
Period

9. Trig Curves Transformed
Graph Sine, Cosine, and Tangent Functions
Equation of a Cosine Function
Amplitude
Period
Complete Cycle

10. Trig Curves Transformed
Graphing a Cosine Functions
Draw one cycle of the function’s graph.
Amplitude
Period

11. Trig Curves Transformed
Graphing a Cosine Functions
Draw one cycle of the function’s graph.
Amplitude
Period

12. Trig Curves Transformed
Graphing a Cosine Functions
Draw one cycle of the function’s graph.
Amplitude
Period

13. Trig Functions Translation
Translations of Trigonometric Graphs
Translation of a Sine Function
Amplitude
Period

14. Trig Functions Translation
Translations of Trigonometric Graphs
Translation of a Sine Function
Amplitude
Period

15. Trig Functions Translation
Graphing a Vertical Translation
Graph the function.
Amplitude
Translation
down 2
Period

16. Trig Functions Translation
Graphing a Vertical Translation
Graph the function.
Amplitude
Translation
up 3
Period

17. Trig Functions Translation
Graphing a Horizontal Translation
Graph the function.
Amplitude
Period
Translation
right p

18. Trig Functions Translation
Graphing a Horizontal Translation
Graph the function.
Amplitude
Period
Translation
left p

19. Trig Functions Translation
Graphing a Horizontal Translation
Graph the function.
Amplitude
Period
Translation
right p/2

20. Trig Functions Translation
Graphing a Reflection
Graph the function.
Amplitude
Period
Reflection over x-axis

21. Trig Functions Translation
Graphing a Reflection
Graph the function.
Amplitude
Period
Reflection over x-axis

22. Trig Curves Transformed
Homework
Sec odds