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)?

• 1

• 0

• 2π

• π

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

• 2π/B

• π/B

• B/2π

• B/π

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

• π/3 to the right

• π/6 to the left

• π/3 to the left

• π/6 to the right

Where does the graph of Y = sin(X + π/6) start after the phase shift?

• At X = 0

• At X = -π/6

• At X = π/6

• At X = -π

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

• π

• π/4

• π/2

• π/3

How many periods should be plotted for the function Y = sin(X + π/6)?

• 3

• 2

• 4

• 1

What is the maximum value the graph of Y = sin(X + π/6) can reach?

• -1

• 2

• 1

• 0