Free Printable Trig Graphing 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.

Describe the horizontal shift.

a)

left π / 2

b)

left 2π

c)

right 2π

d)

right π / 2

4.

Describe the horizontal shift.

a)

left 3π / 4

b)

left 4π / 3

c)

right 3π

d)

right 3π / 4

5.

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

6.

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

7.

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

8.

What is the equation of the graph shown?

a)

y = tan θ

b)

y = sin θ

c)

y = cos θ

d)

y = -5tan θ

9.

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

10.

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

11.

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

12.

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

a)

a

b)

b

c)

c

d)

d

13.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

14.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

15.

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

a)

3

b)

2

c)

90
90⁰

d)

350⁰

16.

Which equation?

a)

y= cos2x

b)

y= (1/2)cosx

c)

y= cos(1/2)x

d)

y= 2cosx

17.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

18.

Find the amplitude of $y=-5\cos1/2\theta+π$

a)

1

b)

-5

c)

1/2

d)

5

19.

The function f(x) = acos bx + c is plotted on the graph shown below.

What are the values of a, b, and c?

a)

a = 2, b = 6, c = 3

b)

a = 2, b = 3, c = 1

c)

a = 4, b = 6, c = 5

d)

a = 4, b = $\frac{\pi}{3}$ , c =3

20.

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

a)

a

b)

b

c)

c

d)

d

21.

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

a)

y = 1/3

b)

y = -2

c)

y = 2

d)

y = 4

22.

What does a negative A value cause?

a)

A negative amplitude

b)

A reflection across the Y axis

c)

No effect

d)

A reflection across X axis

23.

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

24.

Phase shift means ...

a)

An up or down movement

b)

A left or right movement

c)

Height of graph

d)

...set Phasers to stun

25.

Which function represents the graph?

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin ( ⅓ x)

d)

f(x) = sin (3 x)

26.

Which equation?

a)

y= sin(1/3x)

b)

y= (1/3)sinx

c)

y= 3sinx

d)

y= sin(3x)

27.

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

28.

This is the graph of...

a)

y = 2cos(5x)

b)

y = 2sin(5x)

c)

y = 5cos(2x)

d)

y = 5sin(2x)

29.

This is the graph of ...

a)

y = -(1/2)sinx

b)

y = (1/2)sinx

c)

y = (1/2)cosx

d)

y = -(1/2)cosx

30.

This is the graph of...

a)

y = -6sin(x)

b)

y = 6sin(x)

c)

y = -6cos(x)

d)

y = 6cos(x)

31.

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

32.

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

33.

What range of angles for inverse cosine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

34.

What is the range of angles for inverse sine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

35.

What is the range of angles for inverse tangent?

a)

(0, π/2)

b)

(-π/2, π/2)

c)

(0, π)

d)

(0, 2π)

36.

Evaluate: cos^-1(√3/2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

37.

Evaluate: arctan(1)

a)

π/6

b)

π/4

c)

π/3

d)

π/2

38.

Evaluate: sin^-1(-√2/2)

a)

-π/4

b)

3π/4

c)

5π/4

d)

7π/4

39.

$\sin^{-1}\left(-\frac{1}{2}\right)$ = _____

a)

$\frac{\pi}{6}$

b)

$-\frac{\pi}{6}$

c)

$\frac{11\pi}{6}$

d)

$-\frac{5\pi}{6}$

40.

arctan( $-\frac{\sqrt{3}}{3}$ )

a)

$-\frac{\pi}{6}$

b)

$\frac{\pi}{6}$

c)

$\frac{11\pi}{6}$

d)

$\frac{\pi}{3}$

41.

$\sin\left(\cos^{-1}\ \frac{4}{5}\right)=$

a)

$\frac{1}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{5}$

d)

$\frac{4}{7}$

42.

$\cos\left(\sin^{-1}\ \frac{8}{17}\right)=$

a)

$\frac{15}{17}$

b)

$\frac{17}{15}$

c)

$\frac{11}{15}$

d)

$\frac{15}{11}$

43.

What is the main ingredient in guacamole?

a)

Celery

b)

Basil

c)

Parsley

d)

Avocado

44.

What is another name for maize?

a)

Corn

b)

Celery

c)

Carrots

d)

Chicken

45.

Chiffon, marble, and bundt are types of _________.

a)

Meat

b)

Vegetables

c)

Fruit

d)

Cake

46.

What was the first non-English-language film to win Best Picture at the Oscars?

a)

Parasite

b)

Cinema Paradiso

c)

The Lives of Others

d)

Spirited Away

47.

Which artist made history in 2020 as the youngest winner of the Grammys’ four main categories?

a)

Justin Bieber

b)

Billie Eilish

c)

Tinashe

48.

Which of the following is Not a name of a Ninja Turtle?

a)

Michelangelo

b)

Galileo

c)

Donatello

d)

Raphael

Trig Graphing Review

Total questions: 48

Worksheet time: 4hrs 0mins

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