Graphing Trigonometric Functions Apply, algebra homework help

OPEN ENDED Write a trigonometric function that has an amplitude of 3 and a period of π.

1. Graph the function.
2. Writing in Math Use the information on page 822 to explain how you can predict the behavior of tides. Explain why certain tidal characteristics follow the patterns seen in the graph of the sine function.

GET READY for the Lesson
The average daily high temperature
for a region can be described by a
trigonometric function. For example,
the average daily high temperature
for each month in Orlando, Florida,
can be modeled by the function
T – 11.56 sin (0.4516x – 1.641) + 80.89,
where 7 represents the average daily
high temperature in degrees
Fahrenheit and x represents the
month of the year. This equation can
be used to predict the months in
which the average temperature in
Orlando will be at or above a desired temperature.