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Worksheets

Trig Graphs

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.
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
2.
Which value represents a vertical shift in the following function y=a*sin(bx - c)+d?
a)
a
b)
b
c)
c
d)
d
3.
What is the period of
y= -3sin(x)
a)
π
b)
c)
d)
4.

What is the midline for y=2cos(1/3x) +2

a)

y = 1/3

b)

y = -2

c)

y = 2

d)

y = 4

5.
What is the amplitude of y = 3 cos 2x?
a)

3

b)

2

c)

0

d)

2π2\pi

6.
What is the period
of
 y = 3 sin 2x?
a)

2

b)

3

c)

π\pi

d)

2π2\pi

7.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)

y=6sin(8x)y=6\sin(8x)

b)

y=6sin8(x1)y=6\sin8(x-1)

c)

y=6sin(14x)y=6\sin\left(\frac{1}{4}x\right)

d)

y=6sin(x)y=6\sin(x)

8.

Write an equation for the cosine function with amplitude 3, period 2pi, and vertical shift of 5.

a)

y=5cos(x)+3y=5\cos(x)+3

b)

y=3cos(x)+5y=3\cos(x)+5

c)

y=3cos(2x)+5y=3\cos\left(2x\right)+5

d)

y=5cos(2x)+3y=5\cos\left(2x\right)+3

9.

Find the period and amplitude of the equation y = 4sin(10x)

a)

amplitude = 4

period = 10

b)

amplitude = 10

period = 4

c)

amplitude = 4

period = π/5

d)

amplitude = 10

period = π/2

10.

Find the period and amplitude of the equation y = -2cos(8πx)

a)

amplitude = -2

period = 8π

b)

amplitude = -2

period = 1/4

c)

amplitude = 2

period = 8π

d)

amplitude = 2

period = 1/4