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Graphing trigonometric functions

Students practice understanding and analyzing graphing transformations of sine and cosine functions by answering multiple-choice and ordering questions focused on amplitude, period, and phase shift at an 11th-grade level.

By Edform · Mathematics · Grade 11 · Published Oct 15, 2026 · New

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Questions

  1. What is the amplitude of the function y = 3 sin(x)?
  2. What is the period of y = cos(2x)?
  3. Select all equations that have an amplitude of 2.
  4. Arrange the following transformations in the order they affect the graph of y = sin(x): amplitude change, period change, phase shift.
  5. Match each function to its correct phase shift.
  6. Fill in the blanks: The period of y = sin(bx) is _. The amplitude of y = a cos(x) is _.
  7. Choose the correct value for each blank: The graph of y = sin(x + π/3) is shifted _ units to the _.
  8. Sort these functions by their period.
  9. Determine if each statement about trigonometric functions is true or false.

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