Graphs of Trigonometric Functions

What is the period of

 $y=2\sec\left(\frac{1}{2}x\right)-1$  ?

•  $2\pi$  

•  $\pi$  

•  $4\pi$  

•  $3\pi$  

Which function is graphed here?

• $y=\csc\left(x\right)+2$

• $y=2\csc\left(x\right)+2$

• $y=2\sec\left(x\right)+2$

• $y=\sec\left(x\right)+2$

What function is graphed here?

• $y=\tan\left(x\right)-2$

• $y=\cot\left(x\right)-2$

• $y=\tan\left(\frac{1}{2}x\right)-2$

• $y=\cot\left(\frac{1}{2}x\right)-2$

What is the phase shift of

 $y=\tan\left(2x-\pi\right)$  ?

• right  $\pi$  

• left  $\pi$  

• right  $\frac{\pi}{2}$  

• left  $\frac{\pi}{2}$  

What is the period of

 $y=\cot\left(2x\right)-1$  

•  $2\pi$  

•  $\pi$  

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

What is the period of this function?

• 
  

  $\frac{\pi}{4}$
  

• $\frac{\pi}{2}$

• $\pi$

• $2\pi$

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What function is graphed here?

• $y=\tan\left(x-\pi\right)$

• $y=\cot\left(x-\pi\right)$

• $y=\tan\left(x-\frac{\pi}{2}\right)$

• $y=\cot\left(x-\frac{\pi}{2}\right)$

A cosecant function has a period of

 $4\pi$  . Which of the following could be this function?

•  $y=\csc\left(4\pi x\right)$  

•  $y=\csc\left(4x\right)$  

•  $y=\csc\left(\frac{x}{4}\right)$  

•  $y=\csc\left(\frac{x}{2}\right)$  

What function is graphed here?

•  $y=\csc\left(x\right)-2$ 

• $y=\csc\left(x\right)$

•  $y=\sec\left(x\right)-2$ 

• $y=\sec\left(x\right)$

What function is graphed here?

• $y=\sec\left(x\right)$

• $y=2\sec\left(x\right)$

• $y=\csc\left(x\right)$

• $y=2\csc\left(x\right)$