The transformation of the parent cosine function is:
y = cos(x/3)
What is the equation of the transformed cosine?
The parent cosine function is:
y = cos(x).
Such that the period of the parent function is 360°.
Now, in the image we can see that the period is 1,080°, then we have a horizontal dilation, such that:
y = cos(k*x)
And we must have that:
cos(k*1,080°) = cos(360°)
The arguments must be equal, then:
k*1,080° = 360°
k = 360°/1,080° = 1/3
Then the transformed function is:
y = cos(x/3)
If you want to learn more about cosines:
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