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SINE 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
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]
b)
D: (-∞, ∞)
R: [-
π, π]
c)
D: (∞, -∞)
R: [1, -1]
d)
D: (-∞, ∞)
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=32sin⁡(15x+15π)y=\frac{3}{2}\sin\left(\frac{1}{5}x+\frac{1}{5}\pi\right)  

a)

10π10\pi  

b)

2π5\frac{2\pi}{5}  

c)

15π\frac{1}{5}\pi  

d)

11  

21.

Find the phase shift
y=sin⁡(3x+3π)y=\sin\left(3x+3\pi\right)  

a)

π\pi  left

b)

3π3\pi  left

c)

11  left

d)

3π2\frac{3\pi}{2}  left

22.

Find the period:
y=sin⁡(3x+3π)y=\sin\left(3x+3\pi\right)  

a)

3π3\pi  

b)

2π3\frac{2\pi}{3}  

c)

2π2\pi  

d)

3π2\frac{3\pi}{2}  

23.

Find the phase shift:
y=sin⁡(25x+π10)y=\sin\left(\frac{2}{5}x+\frac{\pi}{10}\right)  

a)

π4\frac{\pi}{4}  left

b)

2π2\pi  left

c)

25π\frac{2}{5}\pi  left

d)

5π5\pi  left

24.

Find the period:
y=sin⁡(25x+π10)y=\sin\left(\frac{2}{5}x+\frac{\pi}{10}\right)  

a)

π4\frac{\pi}{4}  

b)

2π2\pi  

c)

25π\frac{2}{5}\pi  

d)

5π5\pi