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y = 2sin x y = 3cos 12x + 90°( ) −1
y = cos x + 2 y = −2cos3 x − 60°( )
y = 12sin x + 60°( ) y = cos2x − 3
y = −3sin2x y = sin 3 x − 90°( ) +1
A B
C D
E F
G H
amplitude: 1period: 360°maximum: 3minimum: 1range: 1 ≤ y ≤ 3vertical translation: up 2
amplitude: 1period: 180°maximum: -2minimum: -4range: -4 ≤ y ≤ −2vertical translation: down 3
amplitude: 12
period: 360°
maximum: 12
minimum: - 12
range: - 12≤ y ≤
12
horizontal translation: left 60°
amplitude: 3period: 180°maximum: 3minimum: -3range: -3 ≤ y ≤ −3reflection: x-axis
amplitude: 3period: 720°maximum: 2minimum: -4range: -4 ≤ y ≤ 2horizontal translation: left 90°vertical translation: down 1
amplitude: 2period: 120°maximum: 2minimum: -2range: -2 ≤ y ≤ 2horizontal translation: right 60°reflection: x-axis
amplitude: 1period: 120°maximum: 2minimum: 0range: 0 ≤ y ≤ 2horizontal translation: right 90°vertical translation: up 1
amplitude: 2period: 360°maximum: 2minimum: -2range: -2 ≤ y ≤ 2
i ii
iii iv
v vi
vii viii