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?

Which of the following functions represents the graph of y = 2 cos*Θ* 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

Which of the following functions represents the graph of y = 3 tan*Θ* translated to the right and 3 units down?

**A. **

**B. **

**C. **

**D. **

dentify the equation of the midline for the function below.

y = π/2

y = -π/2

y = 4

y = -4

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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