What is the period of the sinusoid given by y=-2sin((2pi/7)x)

Y=-2sin((2/7)x)
y = asin(bx+c)+d and the period is given by the equation T = 2/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 (2/7)x is 2 pi/7 which would also be equal to b.

T = 2/(2/7) = 7

You would need a laid out graph for this but could you provide a picture of just a graph? i can give stepssolve for y.subtract 4xdivide by -1 (opposites)graph slope intercept formcheck each point to see if it’s on the graph