Calculate mean absolute deviation

What you'll learn

• Apply transformations (amplitude, period, phase shift, vertical shift) to accurately write sine function equations from a given graph or set of characteristics with at least 80% accuracy.
• Analyze the key features (amplitude, period, phase shift, vertical shift) of a sinusoidal graph to determine the parameters (A, B, C, D) necessary for constructing its corresponding sine function equation.
• Solve for the parameters (A, B, C, D) in the general form of a sine function equation, y = A sin(B(x - C)) + D, given specific information about the sinusoidal function, such as maximum and minimum values, period, and phase shift.
• Explain the relationship between the parameters (A, B, C, D) in the general form of a sine function equation, y = A sin(B(x - C)) + D, and the corresponding transformations of the basic sine function, y = sin(x).