Precalculus
Name___________________________________
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Graphing Trig Functions Practice
Date________________ Period____
Find the amplitude, the period in radians, the minimum and maximum values, and two vertical
asymptotes (if any). Then sketch the graph using radians.
1) y = 4sin q
-
3p
2
-p
-
2) y = 3cos q
6
6
5
5
4
4
3
3
2
2
1
1
p
2 -1
-2
p
2
p
3p
2
-
3p
2
-p
-
p
2 -1
-2
-3
-3
-4
-4
-5
-5
-6
-6
p
2
p
3p
2
Find the amplitude, the period in radians, the phase shift in radians, the vertical shift, the
minimum and maximum values, and two vertical asymptotes (if any). Then sketch the graph
using radians.
( )
3) y = tan q -
p
+2
4
6
5
4
3
2
1
-p
-
p
2
-1
p
2
p
-2
-3
-4
-5
-6
Worksheet by Kuta Software LLC
-1-
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Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then
sketch the graph using radians.
( )
4) y = 2sin q -
-
3p
2
-p
-
(
p
-2
4
)
3p
+1
4
5) y = 2cos q +
6
6
5
5
4
4
3
3
2
2
1
1
p
2 -1
-2
p
2
p
3p
2
-
3p
2
-p
-
p
2 -1
-2
-3
-3
-4
-4
-5
-5
-6
-6
p
2
p
3p
2
List the period, midline, minimum and maximum of each trigonometric function. Sketch the
graph.
6) y = 3sin (2x - p ) - 1
7) y = 4cos
(
)
1
x+p +2
4
Worksheet by Kuta Software LLC
-2-
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8) y = -2sin (3x + 2p ) + 1
Find the period in radians, the minimum and maximum values, and two vertical asymptotes (if
any). Then sketch the graph using radians.
( )
9) y = 2sec q
10) y = 2csc q -
p
-1
2
6
5
6
4
5
3
4
2
3
1
-1
2
p
2
p
3p
2
2p
5p
2
3p
1
-2
-
-3
-4
3p
2
-p
-
p
2 -1
-2
p
2
p
3p
2
-3
-5
-4
-6
-5
-6
(
11) y = 3tan 2q +
)
3p
-2
2
6
5
4
3
2
1
-p
-
p
2
-1
p
2
p
-2
-3
-4
-5
-6
Worksheet by Kuta Software LLC
-3-
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