The graph of option B is the graph of y=sin(0.5x).
Period of sin graph
The formula to find the period of the graph of sin(bx) is [tex]P=\dfrac{2\pi}{b}[/tex]
How to find the graph?
Use the formula [tex]P=\dfrac{2\pi}{b}[/tex] in order to find the graph of y=sin(0.5x) where we will substitute b=0.5.
We will get,
[tex]P=\dfrac{2\pi}{0.5}\\P=\dfrac{20\pi}{5}\\\\P=4\pi[/tex]
Here the period of the graph y=sin(0.5x) is [tex]4\pi\\[/tex].
So, the graph of option B is the graph of y=sin(0.5x) as it has the period of [tex]4\pi\\[/tex].
Learn more about the period of sin graph here- https://brainly.com/question/7803748
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