Algebra 3C Ch 10 Test Review

key
Name:_________

I can graph sine and cosine.

Level 1: Graph 2 cycles of each function.

1. y = 4 - cos2x 2. y = 2 - 2sin½x
Amplitude: Period: Amplitude: Period:
2 41T
1 IT 2
Starts: Scale: Starts: Scale:
low middle
New Middle: New start: New Middle: New start:
y y y 2
4
44 4

I In 3H 41T

3. y = -1 + 5cos x 4. y = -4 + sin 4x

Amplitude: Period: Amplitude: Period:

5
Starts:
21T
Scale: Starts:
1 IF
Scale:
high middle
New Middle: New start: New Middle: New start:
1 y 4
4

to I

IT
5. y = -2 cos ¼x 6. y = sin 6x

Amplitude: Period: Amplitude: Period:

81T 2A
2 1
Starts: Scale: 21 Starts: Scale:

101
New Middle: New start: middI
New Middle: New start:

t.INEE IEEE.IE
7. y = 3 + cos x 8. y = 2sin x

Amplitude: Period: Amplitude: Period:

I 21T 2 21T
Starts: Scale: Starts: Scale:
high
New Middle: New start: Let
New Middle: New start:z
y 3

IEEE
3
E.IN IE
I
9. y = sin2(x + 10. y = -1 + 1)

Amplitude: Period: Amplitude: Period:

IT
I 47 2
Starts: Scale: Starts: Scale:
high
middle
New Middle: New start: New Middle: New start:
1 1

i
i

IEEE ti
lytic
i
1 3 1
11. y sin 2 x 12. y 5 3cos x
4 2 4

Amplitude: Period: Amplitude: Period:

2 IT
3 81T
Starts: Scale: Starts: Scale:
21T
low
IT
New Middle: New start:
3
New Middle: New start:
IT
4 5

IIITE
mA 2

IT it It let tit

i
l
13. y = -6 + sin2(x 14. y 2 cos x
3
Amplitude: Period: Amplitude: Period:
I 2 IT I 21T
Starts: Scale: Starts: Scale:
middlea
New Middle: New start:
high
New Middle:
E
New start:
6 IT 2
4 4 2
103
i
i H
tri
3

in
to i i
Write the equation for each graph as a sine and a cosine function.

15. 16.

pe F
2B IC OP 4F 2A I A A I B I 0 0

y sin2
Sine: Sine:
y 2sin 94

Cosine:
Y 2cos
I
Cosine:
4 0521 74
17. 18.

D 2H P F 4H

B 1 2 A B 4
A 3
Sine: Sine:
2 3 sinx y 4 sin
4
ECOS
y 4
Cosine: Cosine:
4 2 3105 X

Points to remember:

19. y = AcosB(x D) + C
a. What is A? What does it do to the graph?

b.
A changes the amplitude
What is B? What does it do to the graph?
1L
c.
B changes the period 45
What is C? What does it do to the graph?
IT
C changes the location of middle line
d. What is D? What does it do to the graph? vertical shift

D changes the starting point

horizontal shift