Transforming Sine and Cosine Graphs

What is the amplitude of the function? $y=-5\cos\left(2x-\pi\right)+4$  

• 5

• -5

• 4

• -4

What is the period of the function? $y=-5\cos\left(2x-\pi\right)+4$  

•  $\pi$  
  

•  $4\pi$  
  

•  $\frac{\pi}{2}$  
  

•  $-\frac{\pi}{2}$  
  

What is the phase shift of the function? $y=-5\cos\left(2x-\pi\right)+4$  

•  $\pi$  
  

•  $4\pi$  
  

•  $\frac{\pi}{2}$  
  

•  $-\frac{\pi}{2}$  
  

How would the y-values transform (change) in your table? $y=-5\cos\left(2x-\pi\right)+4$  

• Multiply by -5, add 4

• Add 4, multiply by -5

• Multiply by 5, subtract 4

• Subtract pi, multiply by 2

• however you want them to, it's your life

How would the x-values transform (change) in your table? $y=-5\cos\left(2x-\pi\right)+4$  

• Add pi, multiply by 1/2

• Subtract pi, multiply by 2

• Add pi, multiply by 2

• Subtract pi, multiply by 2

• if you eliminate this answer you have a 25% chance

What is the amplitude of the sine graph? $y=3\sin\left(\frac{\pi}{2}x-\pi\right)-5$  

• 3

• -3

• -5

• 5

What is the period of the sine graph? $y=3\sin\left(\frac{\pi}{2}x-\pi\right)-5$  

• 4

•  $4\pi$  
  

•  $\frac{\pi}{4}$  
  

• 1

What is the phase shift of the sine graph? $y=3\sin\left(\frac{\pi}{2}x-\pi\right)-5$  

• 2

•  $-2$  
  

•  $2\pi$  
  

•  $\frac{\pi}{4}$  
  

How would the y values transform (change) in your table? $y=3\sin\left(\frac{\pi}{2}x-\pi\right)-5$  

• Multiply by 3, subtract 5

• Subtract 5, multiply by 3

• Multiply by -3, add 5

• Add 5, multiply by -3

How would the x values transform (change) in your table? $y=3\sin\left(\frac{\pi}{2}x-\pi\right)-5$  

• Add pi, multiply by 2/pi

• Multiply by 2/pi, add pi

• Subtract pi, multiply by pi/2

• Multiply by pi/2, subtract pi

• this is dumb and so am I