CP Algebra II 4/17/15
Graphing Trig Functions
1. Sketch the graph of each function.
a. y = 4cos 2θ + 1
⎛1 ⎞
b. y = −3sin ⎜ θ ⎟ − 2
⎝2 ⎠
c.
y = 5tan θ + 2
Name:________________
2. Match each equation with the correct graph.
y = 2sin(4x)
⎛1 ⎞
y = 2 sin ⎜ x ⎟
⎝4 ⎠
y = –2sin(4x)
y = 2sin(4πx)
⎛1 ⎞
y = −2 sin ⎜ x ⎟
⎝4 ⎠
⎛π ⎞
y = 2 sin ⎜ x ⎟
⎝4 ⎠
(A)
(B)
(C)
(D)
(E)
(F)
3. Match each equation with the correct graph. You will not use all eight graphs.
y = –2cos(8πx)
y = 2cos(8x)
y = –2cos(8x)
⎛π ⎞
y = −2cos⎜ x ⎟
⎝8 ⎠
⎛ x⎞
y = 2cos⎜ ⎟
⎝8⎠
⎛ x⎞
y = −2cos⎜ ⎟
⎝ 8⎠
B A C D E F G H 4. Write an equation for each graph.
5
π
π
π
2π
5π
6
3
2
3
6
π
7π
6
–5
– 10
– 15
8
6
4
2
π
4
–
π
2
–
π
π
π
3π
4
4
2
4
–2
–4
–6
π
5π
3π
7π
4
2
4