Free Printable Section 1.5 ~ Graphs of Tangent Functions

1.

Determine the vertical shift of the graph:

(a)

2.

Determine the vertical shift of the following graph:

a)

0

b)

$\pi$

c)

$\frac{3\pi}{2}$

d)

$2\pi$

3.

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

(a)

4.

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

a)

$-1$

b)

$1$

c)

$\frac{1}{3}$

d)

$6\pi$

5.

Determine the phase shift of the graph:

a)

$-\frac{\pi}{4}$

b)

$0$

c)

$1$

d)

$\frac{\pi}{4}$

6.

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

a)

b)

c)

d)

7.

Determine the possible equation of the graph:

a)

$y=\tan\left(2\cdot x\right)+2$

b)

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

c)

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

d)

$y=\tan\left(x\right)+2$

8.

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

a)

b)

c)

d)

9.

Determine the period of the tangent graph:

a)

$2$

b)

$3$

c)

$\frac{2\pi}{3}$

d)

$\frac{\pi}{3}$

10.

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

(a)

Section 1.5 ~ Graphs of Tangent Functions

Total questions: 10

Worksheet time: 7mins

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