4.5b Assignment

What is the vertical shift for
 $y=4\cos\left(\frac{x}{2}+\pi\right)-2$ ? 

• up 2

• left 2

• right 2

• down 2

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

• right by $\pi$  

• left by  $\pi$  

• right by  $\frac{\pi}{2}$  

• left by  $\frac{\pi}{2}$  

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

• $y=2\sin\left(x+\pi\right)-1$

• $y=2\sin\left(x-\pi\right)-1$

• $y=2\sin\left(2x+2\pi\right)-1$

• $y=2\sin\left(2-2\pi\right)-1$

• $y=2\sin\left(2x-\pi\right)-1$

Graph the following equation: $y=4\cos\frac{\theta}{2}$  

• 
• 
• 
• 

Graph the following equation: $y=2\sin\left(4x+\frac{\pi}{4}\right)+1$  

• 
• 
• 
• 

Which trig function does this graph represent?

• $y=\sin x$

• $y=\sec x$

• $y=\tan x$

• $y=\cot x$

Determine an equation for this graph:

• $y=2\csc x$

• $y=\csc\left(x\right)+1$

• $y=2\csc\left(x\right)+1$

• $y=\csc\left(x\right)+2$

Determine an equation for this graph:

• $y=\sec x$

• $y=2\sec x$

• $y=2\csc x$

• $y=\csc2x$