Question

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

Answer 1

7

Explanation:

bcuz my test said so

Answer 2

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