MTH 115 #9/113 #6: GRAPHS OF SIN AND COSINE FUNCTIONS

Which of the following functions has a phase shift of 2π left? Mark all that apply

• y=2cos(2x+π)-1

• y=2cos(x-2π)-1

• y=2cos[2(x-2π)]-1

• y=2cos[2(x+2π)]-1

• y=2cos(x+2π)-1

Which of the following functions has a phase shift of π right? Mark all that apply

• y=2sin(x+π)-1

• y=2sin(x-π)-1

• y=2sin(2x+2π)-1

• y=2sin(2x-2π)-1

• y=2sin(2x-π)-1

Which of the following are completely accurate? Mark as many as apply

• y=2sin(4x)-1

  period 0.5π amplitude 2

• y=-4sin(0.5x)+2

  period π amplitude -4

• y=-0.25cos(0.25x+π)

  period 4π phase shift π left

• y=-0.25cos(0.5x+π)

  period 4π phase shift 2π left

What is the period of either graph? 
y = sin(x)      &   y = cos (x)

• Pi
• 2Pi
• Pi/2
• Pi/4 

what is the amplitude of
y = 3sin (7x) -2

• 7
• -2
• 3
• 6

What is the amplitude of the graph? 

• -2
• 2
• 4
• -4

What is the amplitude of this function?

• 2
• 2π
• -2
• 1

What is the period of y= -3sin(x)?

• π
• 2π
• 3π
• 4π

What is the vertical shift for

y = 4 cos(x +π) - 2?

• up 2

• left 2

• right 2

• down 2

What is the period of
y= 4 cos (5x)

• 2π/5
• π
• 5
• 5π