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GF Precalculus: Trigonometric Graph Review

Total questions: 70

Worksheet time: 35mins

Name
Class
Date
1.

Which of the following is the graph of

y=sin(2x)y=\sin\left(2x\right) ?

a)

b)

c)

d)

2.

Which of the following is the graph of

y=sinx + 2y=\sin x\ +\ 2 ?

a)

b)

c)

d)

3.

Which of the following is the graph of

y=2sinx y=2\sin x\ ?

a)

b)

c)

d)

4.

Which of the following is the graph of

y=cos(12x )y=\cos\left(\frac{1}{2}x\ \right) ?

a)

b)

c)

d)

5.

Which of the following is the graph of

y=3cos(x )1y=3\cos\left(x\ \right)-1 ?

a)

b)

c)

d)

6.

Which of the following is the graph of

y=cos(x )y=-\cos\left(x\ \right) ?

a)

b)

c)

d)

7.

Which of the following is the graph of

y=tan(x )y=-\tan\left(x\ \right) ?

a)

b)

c)

d)

8.

Which of the following is the graph of

y=tan(x )y=\tan\left(x\ \right) ?

a)

b)

c)

d)

9.

Which of the following is the graph of

y=3tan(x )y=3\tan\left(x\ \right) ?

a)

b)

c)

d)

10.

Which of the following is the graph of

y=tan(xπ4 )y=\tan\left(x-\frac{\pi}{4}\ \right) ?

a)

b)

c)

d)

11.

Which of the following is the graph of

y=cscxy=\csc x ?

a)

b)

c)

d)

12.

Which of the following is the graph of

y=secxy=\left|\sec x\right| ?

a)

b)

c)

d)

13.

Which of the following is the graph of

y=secxy=\sec x ?

a)

b)

c)

d)

14.
effect ☼
a)
the amplitude
b)
vertical shift up
c)
vertical shift down
d)
horizontal shift to the right
e)
horizontal shift to the left
15.
effect ☼
a)
the amplitude
b)
vertical shift up
c)
vertical shift down
d)
horizontal shift to the right
e)
horizontal shift to the left
16.
effect ☼
a)
vertical shift down
b)
the amplitude
c)
vertical shift up
d)
horizontal shift to the right
e)
horizontal shift to the left
17.
effect: ☼ mark all that apply
a)
the amplitude
b)
inverted graph
c)
vertical shift up
d)
vertical shift down
e)
horizontal shift to the right
18.
characters ☼
a)
Amplitude: 10 Period: 4π Midline: y = -7 Not Inverted
b)
Amplitude: 7 Period: π/5 Midline: y = 0.5 Inverted
c)
Amplitude: 1/2 Period: 2π/7 Midline: y = 10 Inverted
19.
characters ☼
a)
Period: π/7 Midline: y = -7 Not Inverted
b)
Period: π/10 Midline: y = 10 Inverted
c)
Period: π Midline: y = 7 Not Inverted
20.
vertical shift ☼
a)
right π/2
b)
up 9
c)
down 3
d)
up 5
e)
left π/3
21.
period ☼
a)
π
b)
π/2
c)
d)
3
e)
None of these
22.
amplitude and period ☼
a)
Amplitude = 1 Period = π
b)
Amplitude = 4 Period = π
c)
Amplitude = 4 Period = 2π
d)
Amplitude = 1 Period = π/2
e)
Amplitude = 2 Period = π/2
23.
graph ☼
a)
y = sin(2x)
b)
y = sin(½x)
c)
y = 2 sin(x)
d)
y = cos(½x)
e)
y = ½cos(x)
24.
graph ☼
a)
None of these
b)
y = cos(½x)
c)
y = ½sin(½x)
d)
y = sin(½x)
e)
y = ½cos(x)
25.
amplitude ☼
a)
b)
4
c)
2
d)
e)
None of these
26.
amplitude and period ☼
a)
Amplitude = -4 Period = π/4
b)
Amplitude = 2 Period = π/2
c)
Amplitude = -2 Period = 4π
d)
Amplitude = 2 Period = -π/2
e)
Amplitude = 4 Period = π/2
27.
amplitude and period ☼
a)
Amplitude = 5 Period = 5/2π
b)
Amplitude = -4 Period = 2π/5
c)
Amplitude = 8 Period = 5π
d)
Amplitude = 4 Period = 5π/2
e)
Amplitude = 4 Period =2π/5
28.
graph ☼
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
e)
Graph 5
29.
graph ♥
a)
A
b)
B
c)
C
d)
D
30.
graph ♥
a)
A
b)
B
c)
C
d)
D
31.
graph ♥
a)
A
b)
B
c)
C
d)
D
32.
graph ♥
a)
A
b)
B
c)
C
d)
D
33.
graph ♥
a)
A
b)
B
c)
C
d)
D
34.
effect ♥
a)
horizontal shift to the right
b)
the amplitude
c)
vertical shift up
d)
vertical shift down
e)
horizontal shift to the left
35.
effect ♥
a)
horizontal shift to the right
b)
the amplitude
c)
vertical shift up
d)
vertical shift down
e)
horizontal shift to the left
36.
effect ♥
a)
the amplitude
b)
vertical shift up
c)
vertical shift down
d)
horizontal shift to the right
e)
horizontal shift to the left
37.
effect ♥
a)
period
b)
the amplitude
c)
vertical shift up
d)
vertical shift down
e)
horizontal shift to the right
38.
characters ♥
a)
Amplitude: 3 Period: π/2 Midline: y = 2 Inverted
b)
Amplitude: 4 Period: π Midline: y = -3 Not Inverted
c)
Amplitude: 2 Period: 2π/3 Midline: y = 4 Inverted
39.
characters ♥
a)
Amplitude: 10 Period: 4π Midline: y = -7 Not Inverted
b)
Amplitude: 7 Period: π/5 Midline: y = 0.5 Inverted
c)
Amplitude: 1/2 Period: 2π/7 Midline: y = -10 Not Inverted
40.
characters ♥
a)
Midline: y = 1 Amplitude: 1
b)
Midline: y = 0 Amplitude: 1
c)
Midline: y = 1 Amplitude: 4
d)
Midline: y = 0 Amplitude: 2
41.

range [#,#] ♥

(a)  

42.
amplitude ♥
a)
π
b)
π/2
c)
d)
3
e)
None of these
43.
graph ♥
a)
y = 2 sin(x)
b)
y = sin(½x)
c)
y = sin(2x)
d)
y = cos(½x)
e)
y = 2cos(x)
44.
graph ♥
a)
y = ½cos(x)
b)
y = sin(½x)
c)
y = cos(½x)
d)
y = sin(2x)
e)
y = 2 sin(x)
45.
graph ♥
a)
y = cos(½x)
b)
y = sin(½x)
c)
y = ½sin(½x)
d)
y = 2 sin(x)
e)
y = ½cos(x)
46.
period ♥
a)
b)
4
c)
2
d)
e)
None of these
47.
amplitude and period ♥
a)
Amplitude = 3 Period = 3π
b)
Amplitude = 3 Period = 3π/2
c)
Amplitude = 2/3 Period = 3π
d)
Amplitude = 2 Period = 4π
e)
Amplitude = -3 Period = 2π/3
48.
graph ♥
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
e)
Graph 5
49.
graph ♥
a)
A
b)
B
c)
C
d)
D
50.
graph ♥
a)
A
b)
B
c)
C
d)
D
51.
graph ♥
a)
A
b)
B
c)
C
d)
D
52.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
53.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
54.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
55.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
56.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
57.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
58.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
59.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
60.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
61.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
62.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
63.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
64.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
65.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
66.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
67.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
68.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
69.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D
70.
graph ♥ needs answer
a)
A
b)
B
c)
C
d)
D