Math Problem Statement

Write an equation of the form y=A sin(B(x-c))+D whose graph is the given sine wave.

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Sine Function
Phase Shift
Amplitude
Period
Vertical Shift

Formulas

y = A sin(B(x - C)) + D
Amplitude (A) = max value - midline
Period (T) = 2π / B
Vertical Shift (D) = midline
Phase Shift (C)

Theorems

Sine Wave Equation
Periodic Function

Suitable Grade Level

Grades 10-12