solve equations Worksheet, algebra homework help

  

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1. 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
2. Which of the following functions represents the graph of y = 3 tanΘ translated
units down?
A.
B.
C.
D.
3. Identify the equation of the midline for the function below.
4. Identify the equation of the midline for the function below?
y = 3sec (Θ – 2) + 3
5. Identify the phase shift for the function shown below.
to the right and 3
6. Identify the phase shift for the function shown below.
7. Which of the following functions is shown in the graph below?
A.
B.
C.
D.
8. Which of the following graph shows the function below?
9. 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?
10. 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?
.
…
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