Master Graphing Cosine with a change in the Period

The video tutorial explains how to graph the cosine function when there are changes in the period and amplitude. It covers two examples: y = cos(2x) and y = 1/2 cos(π/3 x). The tutorial details the process of identifying amplitude and period, and how to adjust the graph accordingly. It also explains the importance of critical points and how to scale the graph. The video concludes with a demonstration of graphing two periods of the cosine function with different parameters.

What does the variable 'A' represent in the cosine function y = A cos(Bx)?

• The phase shift of the function

• The amplitude of the function

• The vertical shift of the function

• The period of the function

How do you determine the period of the function y = cos(2x)?

• Multiply 2π by the coefficient of x

• Divide 2π by the coefficient of x

• Add 2π to the coefficient of x

• Subtract 2π from the coefficient of x

What is the period of the function y = cos(2x)?

• 2π

• π

• π/2

• 4π

How many critical points are there in one period of a cosine function?

• 3

• 6

• 4

• 5

What is the amplitude of the function y = 1/2 cos(π/3 x)?

• 1

• 1/2

• 2

• π/3

How do you find the period of y = 1/2 cos(π/3 x)?

• Multiply 2π by 3/π

• Divide 2π by 3/π

• Divide 2π by π/3

• Multiply 2π by π/3

What is the period of the function y = 1/2 cos(π/3 x)?

• 6

• π

• 2π

• 3