Section 1.5 ~ Graphs of Tangent Functions

Determine the vertical shift of the graph:

Determine the vertical shift of the following graph:

• 0

• $\pi$

• $\frac{3\pi}{2}$

• $2\pi$

What is the vertical shift of the graph of the equation  $y=6\tan\left(\frac{1}{3}\left(x-1\right)\right)+3$  

What is phase shift of graph described by  $y=6\tan\left(\frac{1}{3}\left(x-1\right)\right)+1$  

•  $-1$  

•  $1$  

•  $\frac{1}{3}$  

•  $6\pi$  

Determine the phase shift of the graph:

• $-\frac{\pi}{4}$

• $0$

• $1$

• $\frac{\pi}{4}$

Which shows a graph of  $y=\tan\left(x-\frac{\pi}{2}\right)-2$  

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Determine the possible equation of the graph:

• $y=\tan\left(2\cdot x\right)+2$

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

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

• $y=\tan\left(x\right)+2$

Which shows a graph of  $y=\tan\left(\pi\left(x-0.5\right)\right)+2$  

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Determine the period of the tangent graph:

• $2$

• $3$

• $\frac{2\pi}{3}$

• $\frac{\pi}{3}$

What is the period of the tangent graph of  $y=\tan\left(2x+6\right)-1$