Understanding Cosine Functions

What is the general form of the cosine function used in the video?

• y = a sin(B(x + C)) + D

• y = a tan(B(x - C)) + D

• y = a cos(B(x - C)) + D

• y = a cot(B(x + C)) + D

How is the amplitude (a value) determined from the graph?

• By subtracting the minimum value from the maximum value

• By finding the distance from the midline to the maximum value

• By calculating the total height of the graph

• By measuring the distance from the origin to the maximum

What does the D value represent in the cosine function?

• The phase shift of the graph

• The midline of the graph

• The maximum value of the graph

• The period of the cosine function

How is the B value calculated when the period of the graph changes?

• By dividing the original period by the new period

• By multiplying the original period with the new period

• By adding the original period to the new period

• By subtracting the new period from the original period

What indicates a phase shift in the cosine function?

• The first maximum not occurring at the expected position

• The amplitude being different from expected

• The period being shorter than 360 degrees

• The midline being above or below zero

What is the new period of the graph described in the video?

• 540 degrees

• 180 degrees

• 360 degrees

• 720 degrees

What is the correct expression for the cosine function derived in the video?

• y = 2 cos(0.5(x - 90)) - 2

• y = 2 sin(0.5(x + 90)) + 2

• y = 2 sin(0.5(x - 90)) - 2

• y = 2 cos(0.5(x + 90)) + 2

How is the C value, representing the phase shift, determined?

• By measuring the vertical shift from the x-axis

• By determining the distance between successive maxima

• By calculating the difference between maximum and minimum y-values

• By identifying how far the first maximum is shifted from the origin