Question

PLEASE HELP ME IDK HOW TO DO THIS


The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the number of months since January 2001. (m = 0 represents January 2001.) *see attached table*


A sine function is written to represent the data.


What is the amplitude, period, and vertical shift of this equation?

Answer 1

Answer:

Amplitude is 17

Period = 12

Vertical shift of 50

Step-by-step explanation:

One complete cycle in 12 months

Mean line is at y = 50, so vertical shift of 50

Amplitude = 67-50 = 17

Or , 50 - 33 = 17

Answer 2

The vertical shift, amplitude, and period of the given equation would be as follows:

Amplitude $= 17$

Period $= 12$

Vertical Shift $= 50$

What is Temperature?

Given that,

Duration of the cycle $= 12$ months

∵ Period $= 12 months$

The Mean line lies at $y = 50$

So,

The vertical shift $= 50$

Now,

Amplitude $= 67-50$

$or$

$50 - 33$

$= 17$

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