ame: ________________________ Class: ___________________ Date: __________
Graphs of Trig Functions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Use transformations to graph the function.
y = 5 sin x
1
ID: A
ame: ________________________
ID: A
a.
c.
b.
d.
2
ame: ________________________
____
ID: A
2. Use transformations to graph the function.
y = -4 sin x
a.
c.
b.
d.
3
ame: ________________________
____
ID: A
3. Use transformations to graph the function.
y = sin(πx)
a.
c.
b.
d.
4
ame: ________________________
____
ID: A
4. Use transformations to graph the function.
y = -3 sin(3x)
____
a.
c.
b.
d.
5. Solve the problem.
What is the y-intercept of y = sin x ?
a.
b.
1
c.
π
d.
0
5
ame: ________________________
____
ID: A
6. Solve the problem.
a.
0, 1
c.
0, 1, 2
b.
,
d.
0, π, 2π
6
ame: ________________________
____
ID: A
7. Use transformations to graph the function.
y = 3 cos x
a.
c.
b.
d.
7
ame: ________________________
____
ID: A
8. Use transformations to graph the function.
y = cos
a.
c.
b.
d.
8
ame: ________________________
____
ID: A
9. Without graphing the function, determine its amplitude or period as requested.
y = sin(3x) Find the period.
a.
c.
2π
b. 1
d. 3
____ 10. Without graphing the function, determine its amplitude or period as requested.
y = cos(3x) Find the period.
a.
2π
c.
b. 1
d. 3
____ 11. Without graphing the function, determine its amplitude or period as requested.
y=
cos
Find the amplitude.
a.
c.
b.
d.
9
ame: ________________________
ID: A
____ 12. Match the given function to its graph.
1) y = sin x
3) y = -sin x
2) y = cos x
4) y = -cos x
A
B
C
D
a.
b.
1A, 2B, 3C, 4D
1C, 2A, 3B, 4D
c.
d.
10
1B, 2D, 3C, 4A
1A, 2D, 3C, 4B
ame: ________________________
ID: A
____ 13. Graph the sinusoidal function using key points.
y = 2 + cos x
a.
c.
b.
d.
11
ame: ________________________
ID: A
____ 14. Find an equation for the graph.
a.
y = 3 sin
c.
y = 3 sin (2x)
b.
y = 2 sin
d.
y = 2 sin (3x)
12
ame: ________________________
ID: A
____ 15. Graph the function.
y=
tan x
a.
c.
b.
d.
13
ame: ________________________
ID: A
____ 16. Graph the function.
y = 3 tan(2x)
a.
c.
b.
d.
14
ame: ________________________
ID: A
____ 17. Graph the function.
y = cot x
a.
c.
b.
d.
15
ame: ________________________
ID: A
____ 18. Solve the problem.
What is the y-intercept of y = tan x?
a. 0
c.
b.
d.
none
1
____ 19. Find (i) the amplitude, (ii) the period, and (iii) the phase shift.
y=-
cos(2x - 2π)
a.
(i) 2 (ii) 2π (iii) 2π
c.
(i) 2 (ii) π (iii) π
b.
(i)
d.
(i)
(ii) π (iii) π
(ii) π (iii)
____ 20. Write the equation of a sine function that has the given characteristics.
Amplitude: 5
Period: 3π
Phase Shift:
a.
y = 5 sin
c.
y = 5 sin
b.
y = 5 sin
d.
y = 5 sin
16
ID: A
Graphs of Trig Functions
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
A
A
A
B
B
B
A
A
C
C
B
B
A
C
B
B
B
C
B
D
1