1. y = 2 sin x
A
B
1
y = 3cos ( x + 90° ) − 1
2
C
D
E
1
y = sin ( x + 60° )
2
F
G
H
y = cos x + 2
y = −3sin 2x
y = −2 cos 3( x − 60° )
y = cos 2x − 3
y = sin 3( x − 90° ) + 1
3. i
amplitude: 1
period: 360°
maximum: 3
minimum: 1
range: 1 ≤ y ≤ 3
vertical translation: up 2
ii
amplitude: 1
period: 180°
maximum: -2
minimum: -4
range: -4 ≤ y ≤ −2
vertical translation: down 3
1
2
period: 360°
1
maximum:
2
1
minimum: 2
1
1
range: - ≤ y ≤
2
2
horizontal translation: left 60°
iv
amplitude: 3
period: 180°
maximum: 3
minimum: -3
range: -3 ≤ y ≤ −3
reflection: x-axis
v
amplitude: 3
period: 720°
maximum: 2
minimum: -4
range: -4 ≤ y ≤ 2
horizontal translation: left 90°
vertical translation: down 1
vi
amplitude: 2
period: 120°
maximum: 2
minimum: -2
range: -2 ≤ y ≤ 2
horizontal translation: right 60°
reflection: x-axis
vii
amplitude: 1
period: 120°
maximum: 2
minimum: 0
range: 0 ≤ y ≤ 2
horizontal translation: right 90°
vertical translation: up 1
viii
amplitude: 2
period: 360°
maximum: 2
minimum: -2
range: -2 ≤ y ≤ 2
iii
amplitude:
4. I
J
9
10
y = sin ( x + 90° ) + 2
ix
amplitude: 1
period: 120°
maximum: 2
minimum: 0
range: 0 ≤ y ≤ 2
vertical translation: up 1
y = cos 3x + 1
x
amplitude: 1
period: 360°
maximum: 3
minimum: 1
range: 1 ≤ y ≤ 3
horizontal translation: left 90°
vertical translation: up 2