Respuesta :

Answer:

y = sin3x

Step-by-step explanation:

the equation is of the form y = sinbx

the period of the sine wave is

period = [tex]\frac{2\pi }{b}[/tex] ( b is the coefficient of x )

here period = [tex]\frac{\pi }{3}[/tex] × 2 = [tex]\frac{2\pi }{3}[/tex] , then

[tex]\frac{2\pi }{3}[/tex] = [tex]\frac{2\pi }{b}[/tex] ⇒ b = 3

y = sin3x ← equation of graph