Answer:
y = -2 sin 6x
Step-by-step explanation:
The graph repeats itself after every
[tex] \frac{ \pi}{3} [/tex]
units.
This implies that
[tex] \frac{2 \pi}{b} = \frac{ \pi}{3} [/tex]
This gives us
[tex]b = 6[/tex]
The graph is reflected in the x-axis and its equation is of the form
[tex]y = - a \sin \: bx[/tex]
where a=2 is the amplitude.
We plug in the values to get:
[tex]y = - 2 \sin(6x)[/tex]
The third choice is correct
