Graphing Sine and Cosine Functions with Horizontal Shifts

What is the amplitude of the function y = 4 sin(2x - 2π/3)?

• 2

• 3

• 4

• 1

How do you calculate the period of a sine function?

• 2π/a

• 2π/b

• b/2π

• a/2π

What is the phase shift of the function y = 4 sin(2x - 2π/3)?

• π/3 to the left

• π/3 to the right

• 2π/3 to the right

• 2π/3 to the left

Which of the following is a critical point for a sine function?

• X-intercept

• All of the above

• Minimum

• Maximum

What is the domain of a sine function?

• Negative π to π

• 0 to π

• Negative infinity to positive infinity

• 0 to 2π

What is the range of the function y = 4 sin(2x - 2π/3)?

• 0 to 4

• -4 to 4

• -2 to 2

• -1 to 1

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

• 2

• 3

• 1/2

• 1

How do you determine the phase shift for a cosine function?

• Subtract the amplitude from the period

• Multiply the frequency by 2π

• Divide the amplitude by the frequency

• Set the inside of the parenthesis to zero

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

• π/6 to the left

• π/6 to the right

• π/2 to the left

• π/2 to the right

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

• 0 to 1/2

• -1 to 1

• -1/2 to 1/2

• -3 to 3