MAC1114 FIU Trigonometry Section 2.4 Paper Homework

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Crcrpuraxb

Mathematics

MAC 1114

Florida International University

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MAC 1114 – Section 2.4 Paper Homework NAME:_____________________ Each question is worth 10 points. For questions 1-6, graph one complete cycle of each graph. Then, identify the amplitude, period, and vertical shift for the graph. 1. 1  y  sin  x   2 2  2. y  4 cos  x 3.  y  sin  2  x3  MAC 1114 – Section 2.4 Paper Homework NAME:_____________________ 4. y  4sin 2 x 5. 1 y  2sin x 3 6. 1 y  cos 3x 2 MAC 1114 – Section 2.4 Paper Homework NAME:_____________________ For questions 7-102, find an equation that matches the graph. 7. 8. 9. 10.
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Explanation & Answer

Please find all answers in attached PDF and DOC. Please note both files are exactly same content-wise. Please let me know, if you have any doubt.

1
2

1. sin ( 𝑥) + 2

Chart Title
3.5
3
2.5
2
1.5
1
0.5
0
0

2

4

6

8

10

12

14

𝑷𝒍𝒆𝒂𝒔𝒆 𝒏𝒐𝒕𝒆 𝒆𝒏𝒅𝒑𝒐𝒊𝒏𝒕 𝒊𝒏 𝒂𝒃𝒐𝒗𝒆 𝒈𝒓𝒂𝒑𝒉 𝒊𝒔 (𝟒𝝅, 𝟐)
𝐴𝑚𝑝𝑙𝑖𝑡𝑢𝑒 = 1
𝑃𝑒𝑟𝑖𝑜𝑑 = 4𝜋
𝑉𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑆ℎ𝑖𝑓𝑡 = 2
2. 4cos(𝜋𝑥)

Chart Title
5
4
3
2
1
0
-1

0

0.5

-2
-3
-4
-5

𝐴𝑚𝑝𝑙𝑖𝑡𝑢𝑒 = 4
𝑃𝑒𝑟𝑖𝑜𝑑 = 2
𝑉𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑆ℎ𝑖𝑓𝑡 = 0

1

1.5

2

2.5

𝜋

3. sin ( 2 𝑥) − 3

Chart Title
0
-0.5

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

-1
-1.5
-2
-2.5
-3
-3.5
-4
-4.5

𝐴𝑚𝑝𝑙𝑖𝑡𝑢𝑒 = 1
𝑃𝑒𝑟𝑖𝑜𝑑 = 4
𝑉𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑆ℎ𝑖𝑓𝑡 = −3
4. 4 sin(2𝑥)

Chart Title
5
4
3
2
1
0
-1

0

0.5

1

1.5

2

2.5

3

-2
-3
-4
-5

𝑷𝒍𝒆𝒂𝒔𝒆 𝒏𝒐𝒕𝒆 𝒆𝒏𝒅𝒑𝒐𝒊...


Anonymous
Really helpful material, saved me a great deal of time.

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