[Math] Find the equation of the sine function graphed below.

calculus

Find the equation of the sine function graphed below.

**enter image description here**

Write a cosine function for the graph below. Assume the least possible phase shift.enter image description here

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Hint: Your answer should be of the form $f(x)=A \sin (kx+\phi)$. What is the amplitude of a sine wave before you multiply it by $A$? What is the wavelength before you multiply $x$ by $k$? Where does it pass through $0$?

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