Temperature Suppose there is a 1.7°F drop in temperature for every thousand feet that an
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Answer:
Step-by-step explanation:
Because the function is symmetric about the y-axis, using the cosine function is most appropriate.
<u>Refer to the equation for a cosine function:</u>
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Amplitude:
Period:
Phase shift:
Midline:
The amplitude would be the average of the maximum and minimum y-values of the function, which would be .
The value of in
represents the length of the period, so since the length of the period is
, this means that
.
The phase shift, , describes the horizontal shift of a function. Because the phase shift is
, then we can set up the equation
where we determine
.
The midline (or vertical shift), , is the horizontal line that passes through between the maximum and minimum points, which the function oscillates. In this case, the midline would be located at the line
, therefore,
.
Putting all our information together, your final equation is: