Phase Shift and Sine Functions

This video tutorial explains how to determine the amplitude, period, vertical shift, and phase shift of a sine function. It covers the importance of taking the absolute value for amplitude, using the formula for period calculation, and understanding the direction of vertical and phase shifts. The tutorial also demonstrates how to factor expressions to identify phase shifts accurately.

What are the main topics covered in this video?

• None of the above

• Only vertical shift and phase shift

• Only amplitude and period

• Amplitude, period, vertical shift, and phase shift

How do you determine the amplitude of a sine function?

• By subtracting the coefficient of sine from the phase shift

• By adding the coefficient of sine to the period

• By multiplying the coefficient of sine by 2

• By taking the absolute value of the coefficient of sine

What is the amplitude of a sine function with a coefficient of -3?

• -3

• 3

• 6

• 0

What is the formula to find the period of a sine function?

• B/π

• π/B

• B/2π

• 2π/B

If B is 2, what is the period of the sine function?

• 4π

• π/2

• π

• 2π

How do you determine the vertical shift of a sine function?

• By determining the amplitude

• By finding the phase shift

• By calculating the period

• By looking at the number in front of the sine function

What does a negative vertical shift indicate?

• The graph moves down

• The graph moves to the right

• The graph remains unchanged

• The graph moves up

What is the vertical shift if the number in front is +1?

• No shift

• 1 unit down

• 2 units up

• 1 unit up

What is the first step in determining the phase shift of a sine function?

• Factor out the B value

• Calculate the amplitude

• Determine the vertical shift

• Find the period

What does a negative phase shift indicate?

• The graph moves up

• The graph moves to the left

• The graph moves to the right

• The graph moves down