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I really don’t get this question please help! I will appreciate it

I really don’t get this question please help! I will appreciate it-example-1
User Narmer
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1 Answer

14 votes
14 votes

The general form of the cosine function is:


y=A\cdot\cos (\omega\cdot x)+h

Where A is the amplitude, ω is the angular frequency, and "h" is a translation factor.

We see that the function goes from -1 to +1 (y-coordinate). Then, the amplitude of the function is:


A=1

The period of the function is 2π. The period T relates to the angular frequency as:


\omega=(2\pi)/(T)

From the value of T:


\omega=(2\pi)/(2\pi)=1

Finally, there is no vertical shift, so h must be 0. The final function is:


y=1\cdot\cos (1\cdot x)+0

Since the function is not shifted, the midline is just the x-axis:


\text{Midline}\colon y=0

User Hitul Mistry
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