6. SAS 3 Transformation of Sin and Cos

Transformations of Sin and Cos

Match

Page 21 #7

Sketch the graph of each function rule. Then identify the domain, range, period, and amplitude.

$$y=3\sin\left(2\left(\propto-30\right)\right)+3$$

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• Domain

• Range

• Period

• Amplitude

All angle measures

[0, 6]

3

• All angle measures

• [0, 6]

• $$180\degree$$

• 3

Match

Page 21 #7

Sketch the graph of each function rule. Then identify the domain, range, period, and amplitude.

$$y=-2\cos\left(0.5\left(\propto-180\right)\right)-2$$

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• Domain

• Range

• Period

• Amplitude

All angle measures

[0, -4]

2

• All angle measures

• [0, -4]

• $$720\degree$$

• 2

Match

Page 22 #7

Sketch the graph of each function rule. Then identify the domain, range, period, and amplitude.

$$y=-\sin\left(0.25\left(\propto-45\right)\right)-2$$

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• Domain

• Range

• Period

• Amplitude

All angle measures

[-3, 1]

1

• All angle measures

• [-3, 1]

• $$1440\degree$$

• 1

Match

Page 22 #7

Sketch the graph of each function rule. Then identify the domain, range, period, and amplitude.

$$y=0.5\cos\left(3\left(\propto+30\right)\right)+1$$

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• Domain

• Range

• Period

• Amplitude

All angle measures

[0.5, 1.5]

0.5

• All angle measures

• [0.5, 1.5]

• $$120\degree$$

• 0.5