Free Printable Unit 7 Trig Graphs Review

1.

What is the period of the equation shown?

a)

3π

b)

2π

c)

3π / 2

d)

2π / 3

2.

What is the period of the equation shown?

a)

8π

b)

4π

c)

π / 4

d)

π / 2

3.

What is the period of the equation shown?

a)

2π

b)

4π

c)

π / 2

d)

π

4.

Describe the horizontal shift.

a)

left π / 2

b)

left 2π

c)

right 2π

d)

right π / 2

5.

Describe the horizontal shift.

a)

left 3π / 4

b)

left 4π / 3

c)

right 3π

d)

right 3π / 4

6.

Describe the horizontal and vertical shifts.

a)

left π , up 4

b)

left π , down 3

c)

right π , up 4

d)

right π , down 3

7.

Describe the horizontal and vertical shifts.

a)

right 3π/2 , down 5

b)

left 2π/3 , up 5

c)

right 2π/3 , up 5

d)

left 2π , down 5

8.

What is the equation of the graph shown?

a)

y = 2sin(θ + π/2) + 3

b)

y = 3cos(θ - π/2) + 2

c)

y = 3sin(θ - π/2) + 2

d)

y = 2cos(θ + π/2) + 3

9.

What is the equation of the graph shown?

a)

y = 2sin(θ + π/2) + 2

b)

y = 2cos(θ - π/2) + 2

c)

y = 2sin(θ - π/2) + 2

d)

y = 2cos(θ + π/2) + 2

10.

What is the equation of the graph shown?

a)

y = 3sin(θ + π/4) - 1

b)

y = 3cos(θ - π/4) -1

c)

y = 3sin(θ - π/4) + 1

d)

y = 3cos(θ + π/4) + 1

11.

What is the equation of the graph shown?

a)

y = -sinθ -1

b)

y = -sinθ/2 -1

c)

y = -2sin2θ + 1

d)

y = sinθ/2 + 1

12.

What is the equation of the graph shown?

a)

y = 4cosθ/2 - 6

b)

y = 4cosθ/2 - 2

c)

y = -2cosθ/4 - 2

d)

y = 4cosθ/4 + 2

13.

What is the equation of the graph shown?

a)

y = tan θ

b)

y = sin θ

c)

y = cos θ

d)

y = -5tan θ

14.

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

15.

What is the equation of the graph shown?

a)

y = tanθ/2

b)

y = tan2θ

c)

y = tanθ/4

d)

y = tan4θ

16.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

17.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

18.

What is the period?

a)

π/4

b)

π/2

c)

3π/4

d)

π

19.

Which equation?

a)

y= cos2x

b)

y= (1/2)cosx

c)

y= cos(1/2)x

d)

y= 2cosx

20.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

21.

what is the amplitude of y=3sin(7x)-2

a)

7

b)

-2

c)

3

d)

6

22.

What is the amplitude of y = 3 cos 2x?

a)

3

b)

2

c)

90
90⁰

d)

350⁰

23.

The __________ represents half the distance between the max and min of a sine or cosine graph.

a)

Period

b)

Frequency

c)

Extreme Values

d)

Amplitude

24.

Write the equation of the trigonometric function graphed.

a)

y=cosx

b)

y= - cosx

c)

y=sinx

d)

y = - sinx

25.

Write the equation of the function graphed:

a)

y = cosx

b)

y = - cosx

c)

y = sinx

d)

y = - sinx

26.

Write the equation of the function graphed:

a)

y = - sinx + 1

b)

y = - cosx + 1

c)

y = sinx + 1

d)

y = cosx + 1

27.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

28.

Which value represents a vertical shift in the following function y=a*sin(bx - c)+d?

a)

a

b)

b

c)

c

d)

d

29.

What is the period of
y= -3sin(x)

a)

π

b)

2π

c)

3π

d)

4π

30.

What is the midline for
y=2cos(1/3x +π/6) +2

a)

1/3

b)

-2

c)

+2

d)

4

31.

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

32.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

33.

Which trig function does this graph represent?

a)

sin

b)

sec

c)

tan

d)

cot

34.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

35.

Determine the equation

a)

tan θ

b)

cot θ

c)

tan 2θ

d)

cot 2θ

36.

What is the period of the function y=tan(³/₄θ)

a)

^3π/₄

b)

^3π/₈

c)

^4π/₃

d)

^2π/₃

37.

Which function below matches this graph? $\ \ \$

a)

1/2tan(x)

b)

1/2cot(x)

c)

-1/2tan(x)

d)

Both 1/2cot(x+ Pi/2) and -1/2tan(x)

38.

Which function below matches this graph?

a)

sec2(x)

b)

sec(x)

c)

csc2(x)

d)

2-sec(x)

39.

Which function below matches this graph?

a)

cot(x)

b)

cot4(x)

c)

cot8(x)

d)

π/4cot(x)

40.

Which function below matches this graph?

a)

tan(x)

b)

-tan(x)

c)

sec(x)

d)

-sec(x)

41.

Which function below matches this graph?

a)

1-csc(x)

b)

csc(x)

c)

-csc(x)

d)

1+csc(x)

42.

Which function below matches this graph?

a)

2+sec(x)

b)

sec2(x)

c)

2sec(x)

d)

sec(x-2)

43.

Which function below matches this graph?

a)

tan(x-π/4)

b)

tan(x+π/4)

c)

cot(x)

d)

π/4cot(x)

44.

What is the equation of the graph?

a)

y = - 6 cos x - 1

b)

y = 3 cos x - 4

c)

y = -7 cos x

d)

y = -3 cos x - 4

45.

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

46.

What is the equation of the graph shown?

a)

y = tanθ/2

b)

y = tan2θ

c)

y = tanθ/4

d)

y = tan4θ

47.

Which value helps identify a horizontal shift in the following function y=a*sin(bx-c)+d?

a)

a

b)

b

c)

c

d)

d

48.

Which value helps identify the period in the following function y=a*sin(bx-c)+d?

a)

a

b)

b

c)

c

d)

d

49.

What is the period of
y=cos(3x - π) - 5?

a)

π/3

b)

π/6

c)

2π/3

d)

2π/6

50.

What is the period of
y= -3sin(x)

a)

π

b)

2π

c)

3π

d)

4π

51.

What graph is shown here?

a)

$y=\cos x$

b)

$y=\tan x$

c)

$y=\sin x$

52.

What graphs is shown here?

a)

$y=\cos x$

b)

$y=\tan x$

c)

$y=\sin x$

53.

What graph is shown here?

a)

$y=\tan x$

b)

$y=\cos x$

c)

$y=\sin x$

54.

What is the range of y = sin x ?

a)

(-1 , 1]

b)

[-1 , 1]

c)

$\left(-\infty,\infty\right)$

d)

(-1 ,1)

55.

What is the amplitude of the function
f(x) = -3cos x ?

a)

-3

b)

3

c)

6

d)

-6

56.

Which animal is a sow?

a)

b)

c)

d)

57.

Name the logo

a)

Youtube

b)

playback

c)

light as dark

58.

Finish the lyric...

"Look for the ____________________, the simple _________________"

a)

Bare Necessities

b)

Little things

c)

Things you need

d)

Friends you need

59.

The hottest planet is

a)

Venus

b)

Mercury

c)

Mars

60.

Where does the brown-throated sloth live?

a)

In the park.

b)

In the rain forest.

c)

In Central and South America.

d)

In Asia.

Unit 7 Trig Graphs Review

Total questions: 60

Worksheet time: 4hrs 30mins

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