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Worksheets

PC_Trig Graphing

Total questions: 18

Worksheet time: 54mins

Name
Class
Date
1.

Sine or Cosine?

a)

y=sin⁡xy=\sin x

b)

y=cos⁡xy=\cos x

2.

Sine or Cosine?

a)

y=sin⁡xy=\sin x

b)

y=cos⁡xy=\cos x

3.

What is the amplitude of the equation shown?

a)

2

b)

0

c)

4

d)

π

4.

What is the amplitude of y = 3 cos 2x?

a)

3

b)

2

c)

0

d)

π\pi

5.

What is the amplitude of the graph shown?

a)

3

b)

2π2\pi

c)

-2

d)

1

6.

What is the amplitude of the graph shown?

a)

-1

b)

3

c)

1

d)

2

7.

What is the midline of the equation shown?

a)

2

b)

0

c)

4

d)

π

8.

What is the midline of the graph shown?

a)

3

b)

2π2\pi

c)

cosine

d)

1

9.

What is the midline of the graph shown?

a)

2

b)

0

c)

-2

d)

3π2\frac{3\pi}{2}

10.

What is the midline of the graph shown?

a)

-1

b)

3

c)

1

d)

2

11.

What is the period of the equation shown?

a)

2π

b)

4π

c)

π / 2

d)

π

12.

What is the period of y = 3 cos 2x?

a)

2

b)

 4π4\pi  

c)

 2π2\pi  

d)

π\pi

13.

 y=−3sin⁡(x3)+1y=-3\sin\left(\frac{x}{3}\right)+1  What is the period for the equation

a)

 2π2\pi  

b)

 6π6\pi  

c)

 3π3\pi  

d)

 2π3\frac{2\pi}{3}  

14.

Which trig function is shown in the graph?

a)

f(x)=2sin⁡xf\left(x\right)=2\sin x

b)

f(x)=cos⁡2xf\left(x\right)=\cos2x

c)

f(x)=2cos⁡xf\left(x\right)=2\cos x

d)

f(x)=sin⁡2xf\left(x\right)=\sin2x

15.

What is the equation of the graph shown?

a)

y=−sin⁡x−1y=-\sin x-1

b)

y=−sin⁡(x2)−1y=-\sin\left(\frac{x}{2}\right)-1

c)

y=−2sin⁡(2x)+1y=-2\sin\left(2x\right)+1

d)

y=sin⁡(x2)+1y=\sin\left(\frac{x}{2}\right)+1

16.

What is the equation of the graph shown?

a)

y=4cos⁡(x2)−6y=4\cos\left(\frac{x}{2}\right)-6

b)

y=4cos⁡(x2)−2y=4\cos\left(\frac{x}{2}\right)-2

c)

y=−2cos⁡(x4)−2y=-2\cos\left(\frac{x}{4}\right)-2

d)

y=4cos⁡(x4)+2y=4\cos\left(\frac{x}{4}\right)+2

17.

Which equation is represented by the graph shown below?

a)

y=12cos⁡2xy=\frac{1}{2}\cos2x

b)

y=cos⁡xy=\cos x

c)

y=12cos⁡xy=\frac{1}{2}\cos x

d)

y=2cos⁡12xy=2\cos\frac{1}{2}x

18.

What is the equation of the function?

a)

y=4cos⁡(x−2)y=4\cos\left(x-2\right)

b)

y=4sin⁡x−2y=4\sin x-2

c)

y=cos⁡x−2y=\cos x-2

d)

y=4cos⁡x−2y=4\cos x-2