#84 Phase Shifts

What does phase shift refer to in trigonometric functions?

• Phase shift is the frequency change of a trigonometric function.
• Phase shift refers to the amplitude of a trigonometric function.
• Phase shift is the horizontal shift of a trigonometric function along the x-axis.
• Phase shift is the vertical shift of a trigonometric function.

In the equation y = sin(x - π/2), how does the graph shift?

• π/2 units to the left

• π/2 units to the right

• π/2 units up

• π/2 units down

Which of the following equations represents a cosine function shifted 3 units to the right?

• y = cos(x + 3)

• y = cos(x - 3)

• y = 3cos(x)

• y = cos(3x)

 In the function y = 2sin(x - π) + 1, what is the vertical shift?

• 2 units up

• 1 unit up

• π units up

• No vertical shift

Which of the following correctly describes a convenient starting point for graphing a cosine function?

• Middle point on the way up

• Minimum point

• Maximum point

• Middle point on the way down

Which of the following correctly describes a convenient starting point for graphing a sine function?

• Middle point on the way up

• Minimum point

• Maximum point

• Middle point on the way down

 How can you convert a sine function to an equivalent cosine function?

• Change the amplitude

• Adjust the phase shift

• Modify the period

• Alter the vertical shift