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Write equations of sine and cosine functions from graphs

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Write equations of sine and cosine functions from graphs — free printable Algebra 2 math worksheet

This worksheet provides practice in writing equations of sine and cosine functions from their graphs, focusing on identifying amplitude, period, phase shifts, and vertical shifts. Teachers can use this resource to reinforce students' understanding of trigonometric transformations and to develop skills in modeling periodic behavior. Ideal for Algebra 2 classes, it supports mastery of trigonometric function equations through graph analysis.

Learning objectives

  • Interpret key features of sine and cosine graphs including amplitude, period, phase shift, and vertical shift
  • Write accurate equations of sine and cosine functions based on given graphs
  • Analyze transformations of trigonometric functions to model real-world periodic phenomena

How to use this worksheet

  1. Select “Sign in / Sign up to download”, then sign in with Google or email to get the PDF from KiwiBee Printables.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Use the included answer key to mark it in seconds.

Good for

ClassworkHomeworkWarm-upCentersSmall groups

Answer Key

Answer key for Write equations of sine and cosine functions from graphs — free printable Math worksheet

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