Graphing Sine and Cosine

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

• 7
• -2
• 3
• 6

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

• 2π/5
• π
• 5
• 5π

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

• π
• 2π
• 3π
• 4π

What is the amplitude of this function?

• 2
• 2π
• -2
• 1

Find the period of y=2sin[1/4x-π/2]

• π/2

• 8π

• 4π

• π

Find the amplitude of y=-5cos1/2x+π

• 1

• -5

• 1/2

• 5

Find the phase shift of y=-4cos[1/4x+π/4]

• 2π units to the right

• π units to the right

• π units to the left

• 2π units to the left

Find the amplitude of y=-4cos[1/4x+π/4]

• 4

• -4

• 1

• -1

Find the period of y=-4cos[1/3x+π/4]

• 2π/3

• 3π

• 6π

• π/4

 $y=2\sin\left(6x-\frac{\pi}{4}\right)-2$  

Which of the following properties are true for this function? CHOOSE ALL CORRECT ANSWERS.

• Amplitude is 2

• Amplitude is -2

• Average value is 2 

• Average value is -2

• Phase shift is π/24 to the right