translatingtrigonometricgraphsmultiplechoicehelp
translatingtrigonometricgraphsmultiplechoicehelp
Which of the following functions represents the graph of y = 2 cosÎ˜ translated 90 degrees left and 1 unit down?
y = 2 cos (Î˜ – 90Â°) – 1
y = 2 cos (Î˜ + 90Â°) – 1
y = 2 cos (Î˜ – 90Â°) + 1
y = 2 cos (Î˜ + 90Â°) + 1
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Which of the following functions represents the graph of y = 3 tanÎ˜ translated to the right and 3 units down?
A. 
B. 
C. 
D. 
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Identify the equation of the midline for the function below.
y = Ï€/2
y = Ï€/2
y = 4
y = 4
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Identify the equation of the midline for the function below?
y = 3sec (Î˜ – 2) + 3
y = 2
y = 2
y = 3
y = 3
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Identify the phase shift for the function shown below.
Ï€/4 to the left
Ï€/8 to the left
Ï€/4 to the right
Ï€/8 to the right
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Identify the phase shift for the function shown below.
30 degrees to the left
30 degrees to the right
20 degrees to the left
20 degrees to the right
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Which of the following functions is shown in the graph below?
A. 
B. 
C. 
D. 
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Which of the following graph shows the function below?
A.

B.

C.

D.

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The population of predators and prey in a closed ecological system tends to vary periodically over time. In a certain system, the population of owls O can be represented by where t is the time in years since January 1, 2001. In that same system, the population of mice M can be represented by . What is the maximum number of mice and how many years does it take to reach this population for the first time?
500 mice, 14 years
500 mice, 7 years
700 mice, 14 years
700 mice, 7 years
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The population of predators and prey in a closed ecological system tends to vary periodically over time. In a certain system, the population of owls O can be represented by where t is the time in years since January 1, 2001. In that same system, the population of mice M can be represented by . What is the maximum number of owls and how many years does it take to reach this population for the first time?
120 owls, 15 years
120 owls, 7.5 years
135 owls, 15 years
135 owls, 7.5 years