Free Printable graphing trig functions

1.

A trig function has an amplitude of 4 and a minimum value of 5. What is its maximum value?

a)

7

b)

9

c)

11

d)

13

2.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

3.

Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

4.

What is the maximum value of the wave y = 10sin(2x - 20) + 25?

a)

10

b)

20

c)

35

d)

30

5.

Which is an equation of the cosine function with an amplitude of 2, period of Π, phase shift of Π/2?

a)

y= -2cos(x/2 - ∏/4)

b)

y= 2cos (x/2 + ∏)

c)

y= 2cos (2x-∏)

d)

y= -2cos(2x-∏/2)

6.

What is the phase shift for y = 4cos(¹/₂x +π) - 2?

a)

left pi/2

b)

right pi/2

c)

right 2pi

d)

left 2pi

7.

What is the equation of the graph?

a)

y = 2 cos x

b)

y = sin x

c)

y = 2 sin x

d)

y = sin 2x

8.

1. Determine an equation for this graph:

a)

y=2csc(x)

b)

y=csc(x) + 1

c)

y=2csc(x) + 1

d)

y= csc(x) + 2

9.

2. Determine an equation for this graph:

a)

y=sec(x)

b)

y=2sec(x)

c)

y=2csc(x)

d)

y= csc(2x)

10.

5. Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.

a)

y = 5cos(x - pi) + 3

b)

y = 3cos(x - pi) + 5

c)

y = 3cos(2x - pi) + 5

d)

y = 5cos(2x - pi) + 3

11.

6. What is the vertical shift for y = 4cos(¹/₂x +π) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

12.

12. What is the vertical shift?

a)

Down 1

b)

Down 5

c)

Down 3

d)

Down 4

13.

14. What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

14.

16. Which equation matches the graph?

a)

-tan(x-π/2)

b)

-tan(x+π/2)

c)

cot(x+π/2)

d)

-cot(x+π/2)

15.

What is the equation for the graph shown.

a)

y = 4sinθ - 2

b)

y = 3tcosθ - 1

c)

y = 2tanθ - 4

d)

y = 2-4tanθ + 2

16.

Describe the horizontal shift.

a)

left 3π / 4

b)

left 4π / 3

c)

right 3π

d)

right 3π / 4

17.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

18.

Name the function and how many units the graph shifted vertically.

a)

sine, 2 units up

b)

cosine, 2 units down

c)

cosine, 2 units up

d)

sine, 2 units up

19.

What is another name for a phase shift?

a)

Horizontal Dilation

b)

Horizontal Shift/Translation

c)

Vertical Dilation

d)

Vertical Shift/Translation

20.

What does sin(π) = ?

a)

1

b)

0

c)

-1

d)

Undefined

21.

What does cos(0)= ?

a)

1

b)

0

c)

-1

d)

Undefined

22.

What does tan(0) = ?

a)

1

b)

0

c)

-1

d)

Undefined

23.

What does sin(0) = ?

a)

1

b)

0

c)

-1

d)

Undefined

24.

What does cot(0) = ?

a)

1

b)

0

c)

-1

d)

Undefined

25.

What does tan(3π/4) =

a)

1

b)

0

c)

-1

d)

Undefined

26.

Assuming no transformations, what type of function is this?

a)

Sin

b)

Cos

c)

Tan

d)

Cot

27.

The __________ measure the distance from the midline to the max or min of the function.

a)

Amplitude

b)

Phase Shift

c)

Vertical Translation

d)

Horizantal Translation

28.

The _________________ measure how many periods occur in 1 unit.

a)

Amplitude

b)

Frequency

c)

Vertical Dilation

d)

Unit Cirlce

29.

If no dilations exist, what is the normal period of a sine or cosine function?

a)

1/2π

b)

2π

c)

π

d)

π/2

30.

a)

$\frac{4\pi}{3}$

b)

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

c)

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

d)

$2\pi$

31.

3. Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

graphing trig functions

Total questions: 31

Worksheet time: 26mins

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