translating-trigonometric-graphs-multiple-choice-help

translating-trigonometric-graphs-multiple-choice-help

Which of the following functions represents the graph of y = 2 cosΘ translated 90 degrees left and 1 unit down?


y = 2 cos (Θ – 90°) – 1

y = 2 cos (Θ + 90°) – 1

y = 2 cos (Θ – 90°) + 1

y = 2 cos (Θ + 90°) + 1

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Which of the following functions represents the graph of y = 3 tanΘ 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 = π/2

y = -Ï€/2

y = 4

y = -4

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Identify the equation of the midline for the function below?

y = 3sec (Θ – 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