WorksheetsGraphs of Sin and Cos
Total questions: 25
Worksheet time: 2hrs 37mins
Name
Class
Date
1.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
2.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
3.
The period of a sine or cosine graph can be found by ....
a)
It's always 2π
b)
2π/B
c)
B(2π)
d)
2π+B
4.
Phase shift means ...
a)
An up or down movement
b)
A left or right movement
c)
Height of graph
d)
...set Phasers to stun
5.
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: [-∞, ∞]
6.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
7.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
8.
What does a negative A value cause?
a)
A negative amplitude
b)
A reflection across the Y axis
c)
No effect
d)
A reflection across X axis
9.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
10.
What is the vertical shift for
y = 4cos(0.5x +pi) - 2?
y = 4cos(0.5x +pi) - 2?
a)
up 2
b)
left 2
c)
right 2
d)
down 2
11.
What is the period of y = 3Sin(8x)?
a)
360°
b)
180°
c)
90°
d)
45°
12.
What is the period of y = 4Cos(2x)?
a)
4π
b)
π
c)
2π
d)
π/2
13.
This is the graph of...
a)
y = -6sin(x)
b)
y = 6sin(x)
c)
y = -6cos(x)
d)
y = 6cos(x)
14.
What is the difference between y = sinx and y = 4sinx when graphed?
a)
a period change
b)
an amplitude change
c)
a phase shift
d)
no difference in graphs
15.
The graph of y = 8cosx is ________ than the graph of y = cosx.
a)
shorter
b)
taller
c)
wider
d)
narrower
16.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
17.
what is the amplitude of
y = 3sin (7x) -2
y = 3sin (7x) -2
a)
7
b)
-2
c)
3
d)
6
18.
What is the period of
y= 4 cos (5x)
y= 4 cos (5x)
a)
2π/5
b)
π
c)
5
d)
5π
19.
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
20.
a)
A
b)
B
c)
C
d)
D
21.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
22.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)
y=6sin(8x)
b)
y=6sin8(x-1)
c)
y=6sin1/4x
d)
y=6sinx
23.
Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.
a)
y = 5cos(x -pi ) + 3
b)
y = 3cos(x - pi) + 5
c)
y = 3cos(2x - pi) + 5
d)
y = 5cos(2x - pi) + 3
24.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
25.
This is the graph of...
a)
y = 3sin(4x)
b)
y = 4sin(3x)
c)
y = 3cos(4x)
d)
y = 4cos(3x)
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