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  3. ZuAI AP College Board Pre-Calculus
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Sinusoidal Function Transformations

Henry Lee

Henry Lee

7 min read

Next Topic - Sinusoidal Function Context and Data Modeling
Study Guide Overview

This guide covers sinusoidal functions, focusing on the general equations for sine and cosine. It explains the key components: amplitude (a), period (T), phase shift (c), and vertical translation (d), including their effects on the graph. It also connects these concepts and provides practice questions covering equation identification, transformations, and problem-solving.

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Previous Topic - Sinusoidal FunctionsNext Topic - Sinusoidal Function Context and Data Modeling

Question 1 of 12

What is the general form of a sine function? 🚀

f(θ)=asin⁡(bθ)+df(\theta) = a\sin(b\theta) + df(θ)=asin(bθ)+d

f(θ)=asin⁡(b(θ+c))+df(\theta) = a\sin(b(\theta + c)) + df(θ)=asin(b(θ+c))+d

f(θ)=acos⁡(b(θ+c))+df(\theta) = a\cos(b(\theta + c)) + df(θ)=acos(b(θ+c))+d

f(θ)=atan⁡(b(θ+c))+df(\theta) = a\tan(b(\theta + c)) + df(θ)=atan(b(θ+c))+d