Sine and Cosine

The vertical stretch of the graph; distance between the midline and the max/min.

• Period

• Cycle

• Axis of Oscillation

• Amplitude

The period of a sine or cosine graph can be found by ....

• It's always 2π

• 2π/B

• B(2π)

• 2π+B

what is the period of y= -3sinx

• π

• 2π

• 3π

• 4π

What is the period of y=4cos5x

• 2π/5

• π

• 5

• 5π

What is the amplitude of the graph? 

• 1

• 3

• 6

• 9

What is the period of y = 4Cos(2x)?

• 4π

• π

• 2π

• π/2

What is the amplitude and period of y = 2sin(πx)

• 2 and 2

• π and 2 

• 2 and π

• 2π and 2

Write the equation for a sine function with an amplitude of 6 and a period of π/4. (Find the period of all of them to see which one has a period of π/4)

• y=-6sin(8x)

• y=-6sin(4x-1)

• y=6sin(1/4x)

• y=6sin(x)

A complete cycle of the function  $y=A\cos\left(Bx\right)+C$  is shown. What is the value of A?

• 12

• -12

• 24

• 8

What are the Amplitude, Period and Midline of this sin graph?

• Amp = 3
  Period =  $2\pi$  

  Midline  - y = -1

•  Amp = 3
  

  Period =   $\pi$  

  Midline - y = 3

• Amp = 2
  Period =  $3\pi$  
  Midline  - y = 0
  

• Amp = 2
  Period =  $2\pi$  
  Midline  - y = 1