Answer:
[tex]y=3\sin x[/tex]
Step-by-step explanation:
The function repeats the same shape after every [tex]2\pi[/tex] units.
The function is symmetric with respect to the origin so it is a sine function.
The amplitude is 3 because the graph has range [tex]-3\le y\le 3[/tex]
The equation is of the form [tex]y=a\sin x[/tex] where a=3 is the amplitude.
Hence the required equation is [tex]y=3\sin x[/tex]
