The equation of the shown sinusoidal graph is

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(B) From the graph,the maximum value (amplitude) of the function is $A = 5$.This indicates the equation is of the form $y = 5 \sin(kx)$.The graph comp

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$y = 5\,\sin \,x$

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(B) From the graph,the maximum value (amplitude) of the function is $A = 5$.This indicates the equation is of the form $y = 5 \sin(kx)$.The graph completes one full cycle from $x = 0$ to $x = 2\pi$,which means the period $T = 2\pi$.The formula for the period is $T = \frac{2\pi}{k}$.Substituting $T = 2\pi$,we get $2\pi = \frac{2\pi}{k}$,which implies $k = 1$.Therefore,the equation of the graph is $y = 5 \sin x$.

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