Name: ______________________________________________ Date: ________________
Unit 4-2
Trig Graphs Worksheet
State the equations for the following graphs.
Amplitude = _______
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and search "Graphing trig functions"
to view the video lessons
Period = __________
Solutions available on THS website.
Phase Shift = ____________
Equation (1) = _______________________________ (in terms of the cosine function)
Amplitude = _______
Period = __________
Phase Shift = ____________
Equation (2) = _______________________________ (in terms of the sine function)
Amplitude = _______
Period = __________
Phase Shift = ____________
Equation (3) = _______________________________ (in terms of the sine function)
y
2
1
x
−0.67
−0.33
0.33
0.67
−1
−2
−3
Amplitude = _______
Period = __________
Phase Shift = ____________
Equation (4) = _______________________________ (in terms of the cosine function)
y
4
3
2
1
x
−4
−3
−2
−1
1
2
3
4
5
−1
−2
−3
−4
−5
−6
−7
−8
Amplitude = _______
Period = __________
Phase Shift = ____________
Equation (5) = _______________________________ (in terms of the cosine function)
Amplitude = _______
Period = __________
Phase Shift = ____________
Equation (6) = _______________________________ (in terms of the sine function)
Graph one complete period of the given sine or cosine curve. (Check your answer with your
graphing calculator!)
f ( x) = −2 + sin x
Amplitude = _______
Period = __________
Phase Shift = ____________
π
2
f ( x) = 2 sin  x − 
6
3
Amplitude = _______
Period = __________
Phase Shift = ____________
π

f ( x) = 5sin  2π x + 
2

Amplitude = _______
Period = __________
f ( x) =
Amplitude = _______
Phase Shift = ____________
1
π

cos 2  x + 
10
4

Period = __________
Phase Shift = ____________
ANSWERS:
(1) y = 10 cos 12 x
π

(2) y = 2sin  x − 
4

π
π


(3) y = 10 sin  2 x −  or y = 10sin 2  x − 
2
4


1

(4) y = −2 cos(3π x) or y = 2 cos 3π  x − 
3

π
(5) y = 3cos 
2
(6) y = 3sin

x − 4

π

( x + 2) or y = 3sin  x + π 
2
2

π