Question

Plz help me with this

Answer 1

Answer:
`\bold{B)\quad y=4sin\bigg((3)/(2)x+(2\pi)/(3)\bigg)}`

Explanation:

A sin graph is a cosine graph shifted to the left
`(\pi)/(2)` units.

`y=4cos\bigg((3)/(2)x + (\pi)/(6)\bigg)\qquad \implies y=4sin\bigg((3)/(2)x+(\pi)/(6)+(\pi)/(2)\bigg)\\\\\\.\qquad \qquad \qquad \qquad \qquad \implies y=4sin\bigg((3)/(2)x+(4\pi)/(6)\bigg)\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=4sin\bigg((3)/(2)x+(2\pi)/(3)\bigg)}`