How Do We Graph Sine with a Horizontal Shift to the Right

The video tutorial explains how to graph a sine function by determining its amplitude, period, X scale, vertical transformation, and phase shift. It covers the calculation of these parameters and demonstrates how to apply them to graph the sine function, including handling phase shifts and ensuring the graph includes two periods. The tutorial emphasizes understanding the sine graph's starting point and how to adjust it based on transformations.

What is the amplitude of a sine function when the coefficient of the sine term is 1?

• π

• 2

• 1

• 0

How is the period of a sine function calculated?

• π / A

• 2π / A

• 2π / B

• π / B

What does the X scale help us determine in graphing a sine function?

• The amplitude

• The period

• The important points on the graph

• The phase shift

What is the role of the vertical transformation in a sine graph?

• To change the amplitude

• To shift the graph left or right

• To change the period

• To shift the graph up or down

How does a phase shift affect the sine graph?

• It shifts the graph horizontally

• It changes the amplitude

• It modifies the vertical transformation

• It alters the period

Why is it important to include two periods when graphing a sine function?

• To avoid phase shifts

• To accurately represent the function's behavior

• To simplify calculations

• To ensure the graph is centered

What is the maximum and minimum value of the sine graph with an amplitude of 1?

• 0 and 1

• 1 and -1

• 2 and -2

• π and -π