Transformations of Sinusoidal Functions

This lesson covers transformations of sinusoidal functions, focusing on shifting graphs vertically and horizontally. It explains how amplitude and period are affected by changes in parameters A and B, and how vertical and horizontal shifts are determined by k and h. Examples illustrate these concepts, showing how sine and cosine graphs can be transformed. The lesson concludes with practical applications, demonstrating that sinusoidal graphs can be modeled in multiple ways.

Describe how the amplitude and period of a sine function are affected by transformations.

What happens to the graph of a sine function when you add a value k to it?

How does the value of h affect the horizontal movement of the graph?

What is the significance of the midline in the context of sinusoidal functions?

Explain the difference between the transformations caused by k and h.

What are the general forms of the equations for sine and cosine functions?

How can a sinusoidal graph be represented using both sine and cosine functions?