y=-2sin((2
$\pi$ /7)x)
y = asin(bx+c)+d and the period is given by the equation T = 2
$\pi$ /b
where T is the period of the function. "a" changes the amplitude only (vertical stretch). ""c" is the left/right phase shift. "d" moves the whole graph up or down.
The coefficient of x in (2
$\pi$ /7)x is 2 pi/7 which would also be equal to b.

T = 2
$\pi$ /(2
$\pi$ /7) = 7

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