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4.1.4: How Do I Shift Trig Functions?

4.1.4: How Do I Shift Trig Functions?. Today you will use shifts and vertical stretches to graph and find the equations of sinusoidal functions. You will also learn the 5-point method for sketching graphs. 4.1.3 Homework. 4.1.3 Homework. Today. Recall from Lesson 4.1.3.

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4.1.4: How Do I Shift Trig Functions?

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  1. 4.1.4: How Do I Shift Trig Functions? Today you will use shifts and vertical stretches to graph and find the equations of sinusoidal functions. You will also learn the 5-point method for sketching graphs.

  2. 4.1.3 Homework

  3. 4.1.3 Homework

  4. Today

  5. Recall from Lesson 4.1.3 • What does the “normal” sine graph look like?

  6. Recall from Lesson 4.1.3 What does the “normal” cosine graph look like?

  7. Generating the Sine & Cosine Graph Sine Wave Tracer

  8. Add Sine & Cosine to your Parent Graph Tool Kit Notes • Draw the “normal” graph for each. Label the 5 key points. • Maximum? Minimum? Crossings? • Period? Amplitude? • Parent Equation • General Equation

  9. Sine Graph Period: 2π Amplitude: 1 Maximum: Minimum: Crossings:

  10. Cosine Graph Period: 2π Amplitude: 1 Maximum: Minimum: Crossings:

  11. Transformations Review Reflect over x-axis Left/ Right Vertical Stretch/ Shrink Up/Down Horizontal Stretch/ Shrink

  12. Together as a Class

  13. Amplitude and Period Changes

  14. Partner Work Complete 4-49 & 4-50 with your partner.

  15. 4-49 & 4-50

  16. 4-51 Class Discussion

  17. 5-point Method

  18. 5-52: Part a together as a class

  19. 4-52 a

  20. Partner Work Complete 4-52 parts b, c, and d with your partner.

  21. 5-52: Practice

  22. 4-52 b

  23. 4-52 c

  24. 4-52 d

  25. Exit Slip Use the 5-point method to help you sketch the graph for the function that was given to you.

  26. Assignment HW 4.1.4 4-53 to 4-61 (pg. 197)

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