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WorksheetsU3L3B
Total questions: 25
Worksheet time: 6hrs 15mins
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 __________ represents half the distance between the max and min of a sine or cosine graph.
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
4.
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
5.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
6.
Which equation?
a)
y= -cos(2x)
b)
y= cos(2x)
c)
y= (1/2)cosx
d)
y= (-1/2)cosx
7.
What is the equation of the graph?
a)
y = - 6 cos x - 1
b)
y = 3 cos x - 4
c)
y = -7 cos x
d)
y = -3 cos x - 4
8.
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
9.
What is the equation of the graph?
a)
y = -2 cos x - 3
b)
y = 3 cos x - 2
c)
y = -7 cos x - 3
d)
y = -3 cos x - 4
10.
what is the amplitude of
y = 3sin (7x) -2
y = 3sin (7x) -2
a)
7
b)
-2
c)
3
d)
6
11.
The period of a function is
a)
how long one cycle is before the function repeats
b)
how high and low the function goes from the center line
c)
the range of the function
12.
What is the midline for
y=4cos(1/3x) +2
a)
1/3
b)
-2
c)
+2
d)
4
13.
What is the range of
y= -3sin(x)-2?
y= -3sin(x)-2?
a)
[-2,2]
b)
[-5,1]
c)
[-4,2]
d)
[-3,3]
14.
What is the range of y=4cos(x -1)?
a)
[-1,1]
b)
[-2,2]
c)
[-3,5]
d)
[-4,4]
15.
How many "key points" should be included in every cycle/period of a sine or cosine graph?
a)
As many as I want
b)
It depends on the graph
c)
4
d)
5
16.
What is the equation of the graph shown?
a)
y = 4cosθ/2 - 6
b)
y = 4cosθ/2 - 2
c)
y = -2cosθ/4 - 2
d)
y = 4cosθ/4 + 2
17.
In the graph shown, what is the value of A if the graph is of the function
f(x) = A sin (Bx) + D
f(x) = A sin (Bx) + D
a)
-2
b)
2.5
c)
3
d)
-3.5
18.
In the graph shown, what is the value of B if the graph is of the function
f(x) = A sin (Bx) + D
f(x) = A sin (Bx) + D
a)
1
b)
2
c)
3
d)
-1
19.
In the graph shown, what is the value of D if the graph is of the function
f(x) = A sin (Bx) + D
f(x) = A sin (Bx) + D
a)
1
b)
0.5
c)
-0.5
d)
-2
20.
Which function below describes only the following transformations?
Reflection over x-axis
Down 2
Period: 2π/3
Amplitude: 2
a)
cos3(x)+2
b)
-3cos2(x-2)
c)
-2-2sin3(x)
d)
sin2(3x)+2
21.
What is the vertical shift?
a)
Down 1
b)
Down 7
c)
Down 4
d)
Down 6
22.
What is the period of the equation shown?
a)
8π
b)
4π
c)
π / 4
d)
π / 2
23.
The function f(x) = acos bx + c is plotted on the graph shown below.
What are the values of a, b, and c?
a)
a = 2, b = 6, c = 3
b)
a = 2, b = 3, c = 1
c)
a = 4, b = 6, c = 5
d)
a = 4, b = 3π , c =3
24.
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
25.
What is the amplitude of the graph?
a)
-3
b)
2
c)
-2
d)
3
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