Amplitude and Period of Sin and Cos

What is the amplitude of the function y = 3sin(x)?

• 2

• 3

• 5

• 4

What is the period in radians of the function y = 2cos(3x)?

• 3π/2

• π/3

• 4π/3

• 2π/3

Describe the graph of y = 4sin(x).

• The graph of y = 4sin(x) is a straight line

• The graph of y = 4sin(x) is a parabola

• The graph of y = 4sin(x) oscillates between -4 and 4, completing one full cycle every 2π units.

• The graph of y = 4sin(x) has no amplitude

Identify the amplitude of the function y = -2cos(2x).

• 2

• 4

• -2

• 0

Calculate the period of the function y = sin(4x). (In radians)

• π/4

• 3π/2

• π/2

• 2π

Describe the graph of y = -3cos(2x).

• The graph will oscillate between -2 and 2, with a period of 2pi.

• The graph will oscillate between -3 and 3, with a period of pi.

• The graph will have a sinusoidal shape with a period of 2pi.

• The graph will be a straight line at y = -3.

What is the amplitude of the function y = 5sin(3x)?

• 10

• 5

• 7

• 3

Determine the period of the function y = 2cos(5x). (In radians)

• 4π/5

• 3π/5

• π/5

• 2π/5

Find the amplitude of the function y = 4cos(2x).

• 6

• 4

• 8

• 2

The __________ measures the distance from the midline to the max or min of the function.

• Amplitude

• Phase Shift

• Vertical Translation

• Horizantal Translation