WorksheetsSINE GRAPH
Total questions: 24
Worksheet time: 18mins
Name
Class
Date
1.
The period of a sine graph can be found by ...
a)
It's always 2π
b)
2π/b
c)
(2π)b
d)
2π+b
2.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
3.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
4.
What is the period of y= -3sin(x)?
a)
π
b)
2π
c)
3π
d)
4π
5.
what is the amplitude of
y = 3sin (7x) -2
y = 3sin (7x) -2
a)
7
b)
-2
c)
3
d)
6
6.
what is the maximum value of
y = 3sin (7x) -2
a)
-5
b)
-3
c)
1
d)
5
7.
what is the minimum value of
y = 3sin (7x) -2
a)
-5
b)
-3
c)
1
d)
5
8.
Which function represents the graph?
a)
f(x) = 3 sin x
b)
f(x) = 3 cos x
c)
f(x) = sin ( ⅓ x)
d)
f(x) = sin (3 x)
9.
What is the domain and range of y=sinx?
a)
D: (-∞, ∞)
R: [-1, 1]
R: [-1, 1]
b)
D: (-∞, ∞)
R: [-π, π]
R: [-π, π]
c)
D: (∞, -∞)
R: [1, -1]
R: [1, -1]
d)
D: (-∞, ∞)
R: [-∞, ∞]
R: [-∞, ∞]
10.
Write an equation of a sine function with a period of π and amplitude of 7.
a)
y=7sin2πx
b)
y=7sinπx
c)
y=2sin7x
d)
y=7sin2x
11.
y=Asin(Bx+C)+D
Which letter represents amplitude?
a)
A
b)
B
c)
C
d)
D
12.
y=Asin(Bx+C)+D
What does D represent?
a)
vertical shift
b)
midline
c)
period
d)
horizontal shift
13.
y=Asin(Bx+C)+D
how do you find the period?
a)
2pi/b
b)
pi/2
c)
2b/pi
d)
pi/b
14.
Determine the vertical shift of the function y = 5cos(x) + 4.
a)
5
b)
4
c)
-5
d)
-4
15.
What is the equation of the blue graph?
a)
y = 2sin x
b)
y = sin(2x)
c)
y = sin(x + 2)
d)
y = sin x - 2
16.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
17.
What is 4π/3 radians in degrees?
a)
120
b)
240
c)
210
d)
270
18.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
19.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
20.
Find the period
y=23sin(51x+51π)
a)
10π
b)
52π
c)
51π
d)
1
21.
Find the phase shift
y=sin(3x+3π)
a)
π left
b)
3π left
c)
1 left
d)
23π left
22.
Find the period:
y=sin(3x+3π)
a)
3π
b)
32π
c)
2π
d)
23π
23.
Find the phase shift:
y=sin(52x+10π)
a)
4π left
b)
2π left
c)
52π left
d)
5π left
24.
Find the period:
y=sin(52x+10π)
a)
4π
b)
2π
c)
52π
d)
5π
100 %
