Period of Trigonometric Functions

5.  Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.

• y = 5cos(x - pi) + 3
• y = 3cos(x - pi) + 5
• y = 3cos(2x - pi) + 5
• y = 5cos(2x - pi) + 3

6.  What is the vertical shift for y = 4cos(¹/₂x +π) - 2?

• up 2
• left 2
• right 2
• down 2

7.  What is the phase shift for y = 4cos(¹/₂x +π) - 2?

• left pi/2
• right pi/2
• right 2pi
• left 2pi

8.  What is the period for y = 4cos(¹/₂x +π) - 2?

• pi/2
• pi
• 3pi
• 4pi

9.  What is the amplitude for y = 4cos(¹/₂x +π) - 2?

• 2
• pi/2
• pi
• 4

10.  What is the equation of the graph?

•  y = 2 cos x
• y = sin x
• y = 2 sin x
• y = sin 2x 

11.  What is the equation of graph? 

• y = sin 5x
• y =  cos 5x
• y = 5 sin x
• y = 5 cos x 

13.  What is the equation of the graph?

• y = -2 cos x - 3
• y = 3 cos x - 2
• y = -7 cos x - 3
• y = -3 cos x - 4 

14.  What is the amplitude of the graph? 

• 1
• 3
• 6
• 9

15.  What is the amplitude and period of the function: y= 2/5sin9x

• Amplitude: 2/5 Period: 2π/9
• Amplitude: 2/5 Period: π/6
• Amplitude: 5/2 Period: 2π/9
• Amplitude: 5/2 Period: π/6