Question

30 points to whoever can answer this please!

Answer 1

Answer:

y=6sin3(x+1)

Step-by-step explanation:

Answer 2

A common sinusoidal function is:

$y = asin(bx)$

so,always amplitude is a, so a=6

and we know period is:

$p = \frac{ |b| }{2\pi}$

so

$\frac{ |b| }{2\pi} = \frac{2\pi}{3}$

$b = + or - \frac{4 {\pi}^{2} }{3}$

and we have 2 equations that while we can consider which is appropriate ,to have its graph!

$6 \sin( \frac{4 {\pi}^{2} }{3}x )$
and when you want to shift it 1 unit left we have:
$6 \sin( \frac{4 {\pi}^{2} }{3}x +1)$