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Graphing sine and cosine

A 12th-grade-level classroom material focused on graphing sine and cosine functions, practicing concepts like amplitude, period, phase shifts, and modeling periodic phenomena through questions on identifying equations, selecting functions with specific periods, sequencing transformations, and interpreting maximum points.

By Edform · Mathematics · Grade 12 · Published Oct 15, 2026 · New

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Questions

  1. Which equation represents a sine function with amplitude 3, period 2π, and no phase shift?
  2. Select all equations that have a period of π.
  3. Put the transformations in the correct order to graph y = 2 sin(x - π/3) + 1 starting from y = sin(x).
  4. Fill in the blanks: The cosine function y = cos(x) reaches its maximum value of _ at x = _.
  5. Sort each function by its amplitude.

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