Question

Plz help me with this

Answer 1

it's the third choice because of your radius like how it's 2πR^2

Answer 2

Answer:
`\bold{D)\quad y = 2sin(3x)}`

Explanation:

`\text{The standard form of a sine equation is: y=A sin(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }(2\pi)/(B)\\\\\bullet\text{Phase Shift = }(C)/(B)\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}`

In the given graph,

• A (amplitude) = 2
• P (period) =
  `(2\pi)/(3)` --> B = 3
• Phase Shift
  `\bigg((C)/(B)\bigg)` = 0 --> C = 0
• D (vertical shift) = 0

`\implies \large\boxed{y = 2sin(3x)}`

see graph below for verification