Transformations of Trig Functions Practice

What is the amplitude of  $y=5\sin\left(x\right)$  ? 

What is the period of  $y=5\sin\left(x\right)$  ? 

*Use "pi" to denote  $\pi$  .*

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

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

*Use "pi" to denote  $\pi$  .*

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

• right  $\frac{3\pi}{2}$  

• left  $\frac{3\pi}{2}$  

• up  $\frac{3\pi}{2}$  

• down  $\frac{3\pi}{2}$  

What is the amplitude of $y=\sin\left(x\right)+2$ ?

What is the period of $y=\sin\left(x\right)+2$ ?

*Use "pi" to denote  $\pi$  .*

What is the vertical shift of $y=\sin\left(x\right)+2$ ?

• up 2

• down 2

What is the period of $y=\cos\left(\frac{x}{3}\right)$  ?

•  $\frac{1}{3}$  

•  $2\pi$  

•  $6\pi$  

•  $\frac{2\pi}{3}$  

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