If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.

Concepts

graphing trigonometric functions, graphing functions, trigonometric, trigonometric functions, cosine, translations, horizontal, vertical

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Additional Tags

math

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Instructional Ideas

• Lead a discussion on the difference in shifting the y-intercept of cosine and the y-intercept of sine

Classroom Considerations

• Addresses both horizontal and vertical translations
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Pros

• Hints provide helpful information in answering the question
• Displays the correct answer 

Cons

• None

Common Core

HSF-IF.C.7.a HSF-IF.C.7.e