WorksheetsPrecalculus_5.3 Trigonometric Graphs
Total questions: 11
Worksheet time: 22mins
Name
Class
Date
1.
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)
2.
What is the period of this equation?
y = -5sin(3x)
y = -5sin(3x)
a)
-5
b)
2pi/3
c)
2pi/5
d)
3
3.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
4.
In the equation
f(θ)=7sin(θ)+2 , what are the minimum and maximum values of the function?
a)
min = 5; max = 9
b)
min = 2; max = 7
c)
min = -5; max = 9
d)
min = -9; max = -5
5.
Describe the horizontal and vertical shifts.
a)
left π , up 4
b)
left π , down 3
c)
right π , up 4
d)
right π , down 3
6.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
7.
Which of the following is the graph of y=sinx ?
a)
b)
c)
d)
8.
Which of the following is the graph of 𝑦 = cosx?
a)
b)
c)
d)
9.
Find the maximum value of the function 𝑓(x) = 11 sin x.
(a)
10.
Identify the graph of the function 𝑓(𝑥)= 21sin x
a)
b)
c)
d)
11.
Which of the following functions has the following properties?
1) Amplitude = 3
2) Period = 2π
3) Phase shift = 6π to the right
4) Vertical shift = 9 down
a)
f(x)=3sin(2x−3π)+9
b)
f(x)=−3sin(4x−6π)−9
c)
f(x)=3sin(4x−32π)−9
d)
f(x)=−3sin(4x+6π)−9
100 %
