For the sinusoidal graph below, write the equation in form $y = a\cos\left(\frac{2\pi}{p}x\right)+b$

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For the sinusoidal graph below, write the equation

$$y = a\cos \left(\frac{2\pi}{p}x\right) + b.$$

The answer I solved it to be looking at the graph is

$$y = 25\cos\left(\frac{2\pi}{12}x\right) + 30$$

Thanks any input or help would be appreciated :D

the plot

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I don't think there's anything to add; your answer is correct.