How to Graph Sine with a Shift to the Left

The video tutorial explains how to graph the sine function Y = sin(X + π/6) by identifying key transformations such as amplitude, period, phase shift, and vertical transformation. The instructor guides through calculating the X scale and plotting key points to complete the graph, emphasizing the importance of understanding the basic sine graph and its transformations.

What is the amplitude of the function Y = sin(X + π/6)?

How do you determine the period of the function Y = sin(X + π/6)?

Explain how to find the X scale for the function Y = sin(X + π/6).

What is the vertical transformation for the function Y = sin(X + π/6)?

How do you calculate the phase shift for the function Y = sin(X + π/6)?

What are the key points to consider when graphing the sine function?

Describe the process of graphing the function Y = sin(X + π/6).