Read pages 522-523 Example 3 in your textbook, Principles of Mathematics 12.

Complete the following questions for more practice matching the equation of a sinusoidal function to its graph.

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  1. Match each graph with the corresponding equation below. Explain your reasoning.
Graph A
Graph B
Graph C Graph D

  1. y = 3 sin( x + 120°) + 1
  2. y = 3 sin 2( x - 160°) - 2
  3. y = 3 sin( x - 120°) + 2
  4. y = 2 sin( x - 300°) - 1
Graph
Matching Equation Reasoning
A

B

C

D

Watch the Visualizing Sinusoidal Functions

Now, see how you can use your knowledge of the key characteristics of sinusoidal functions to solve problems.

Read pages 524-526 Example 4 in your textbook, Principles of Mathematics 12.

Complete the Your Turn question on page 526 for more practice interpreting the equation of a sinusoidal function to solve problems.

Click here to verify your answers.

Read page 493 In Summary andpage 514 Frequently Asked Questions of Mathematics 12.