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Worksheets

HA2T Intersession 1

Total questions: 30

Worksheet time: 3600secs

Name
Class
Date
1.

what is the amplitude of

y = -3sin (7x) -2

a)

7

b)

-2

c)

3

d)

-3

2.
What is the equation of the graph?
a)
 y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x 
3.
What is the equation of graph? 
a)
y = sin 5x
b)
y =  cos 5x
c)
y = 5 sin x
d)
y = 5 cos x 
4.

What is the vertical shift for

y = 4 cos(x) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

5.

Describe the transformation of the parent function y = sin θ to y = 3 sin θ − 2 (Hint: Identify the values of A & D) Remember : y = A sin B(θ − C) + D

a)

stretches vertically by a factor of 3, and up 2 units

b)

stretches horizontally by a factor of 3 and down 2 units

c)

stretches vertically by a factor of 3 and down 2 units

d)

stretches horizontally by a factor of 3 and up 2 units

6.
Determine an equation for this graph:
a)


y=csc(x)
b)


y=sec(x)
c)
y=cot(x)
d)


y= tan(x)
7.
Which is an equation of the cosine function with an amplitude of 2, period of Π, phase shift of Π/2?
a)
y= -2cos(x/2 - ∏/4)
b)
y= 2cos (x/2 + ∏)
c)
y= 2cos (2x-∏)
d)
y= -2cos(2x-∏/2)
8.
5.  Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.
a)
y = 5cos(x - pi) + 3
b)
y = 3cos(x - pi) + 5
c)
y = 3cos(2x - pi) + 5
d)
y = 5cos(2x - pi) + 3
9.
6.  What is the vertical shift for y = 4cos(1/2x +π) - 2?
a)
up 2
b)
left 2
c)
right 2
d)
down 2
10.
8.  What is the period for y = 4cos(1/2x +π) - 2?
a)
pi/2
b)
pi
c)
3pi
d)
4pi
11.
9.  What is the amplitude for y = 4cos(1/2x +π) - 2?
a)
2
b)
pi/2
c)
pi
d)
4
12.
14.  What is the amplitude of the graph? 
a)
1
b)
3
c)
6
d)
9
13.
15.  What is the amplitude and period of the function: y= 2/5sin9x
a)
Amplitude: 2/5 Period: 2π/9
b)
Amplitude: 2/5 Period: π/6
c)
Amplitude: 5/2 Period: 2π/9
d)
Amplitude: 5/2 Period: π/6
14.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
15.

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

16.
Where is the midline for
y=2cos(1/3x +π/6) +2
a)
1/3
b)
-2
c)
+2
d)
4
17.

What is the period of the equation shown?

a)

3π

b)

2π

c)

3π / 2

d)

2π / 3

18.

What is the equation of the graph shown?

a)

y = 3sin(θ + π/4) - 1

b)

y = 3cos(θ - π/4) -1

c)

y = 3sin(θ - π/4) + 1

d)

y = 3cos(θ + π/4) + 1

19.

What is the equation for the graph shown.

a)

y = 4sinθ - 2

b)

y = 3tcosθ - 1

c)

y = 2tanθ - 4

d)

y = 2-4tanθ + 2

20.

What is the equation of the graph shown?

a)

y = tanθ/2

b)

y = tan2θ

c)

y = tanθ/4

d)

y = tan4θ

21.

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

22.

Describe the horizontal shift.

a)

left 3π / 4

b)

left 4π / 3

c)

right 3π

d)

right 3π / 4

23.
Find the amplitude:
y = 4cos(x-90) + 3
a)
90
b)
3
c)
4
d)
none
24.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
25.
What is the phase shift?
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
26.
What is an equation of the graph shown?
a)
y=cos1/2x
b)
y=cos2x
c)
y=sin 1/2 x
d)
y=sin2x
27.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
28.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
29.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)
y=6sin(8x)
b)
y=6sin8(x-1)
c)
y=6sin1/4x
d)
y=6sinx
30.

Write the equation for a sine function with an amplitude of 3 and a period of π.

a)

y=3sin(πx)

b)

y=πsin(3x)

c)

y=3sin2x

d)

y=πsin2x