Graphing Sine with a Phase Shift

The video tutorial guides students through solving a mathematical problem by focusing on key concepts such as amplitude, period, and critical points. It emphasizes the importance of understanding these concepts to effectively graph functions. The tutorial provides step-by-step instructions on calculating amplitude and period, determining critical points, and graphing the function. The instructor also highlights the need for proficiency in fractions to accurately plot points on the graph. The session concludes with a review of the graphing process and a recap of the main ideas discussed.

What is the amplitude of a function if the coefficient 'a' is -3?

• 1

• 0

• -3

• 3

How do you calculate the period of a function with a coefficient of x equal to 2?

• 2π

• π

• π/4

• π/2

What is the distance between critical points if the period is 2π?

• 2π

• π/2

• π/4

• π

How do you determine the start point of a function?

• Set the function equal to -π

• Set the function equal to π

• Set the function equal to 0

• Set the function equal to 2π

What is the end point of a function if the inside of the function is set to 2π?

• 2π

• π

• π/2

• 3π

When graphing a function, what is the significance of the distance between critical points?

• It determines the amplitude

• It helps in finding the start point

• It is used to plot the graph accurately

• It is irrelevant to graphing

What is the first step in graphing a function after determining the start point?

• Calculate the amplitude

• Find the period

• Determine the end point

• Plot the critical points