AP Precalculus Flashcards: Sinusoidal Function Transformations

Study Sinusoidal Function Transformations in AP Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Find the phase shift of y=4cos(2(xπ6))y = 4 \, \text{cos}(2(x - \frac{\text{π}}{6})).

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ANSWER

Phase shift is π6\frac{\text{π}}{6}. Phase shift equals C=π6C = \frac{\pi}{6} (right shift).

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AP Precalculus: Trigonometric and Polar Functions

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What this deck covers

This deck focuses on Sinusoidal Function Transformations, giving you a quick way to review the definitions, rules, and examples that matter most for AP Precalculus.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 20Practice questions for this set
The graph of y=cos(x)y=\cos(x) is shifted π6\frac{\pi}{6} units to the left, then reflected over the x-axis, and finally shifted 4 units up. Which of the following is the equation of the transformed function?
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