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:  $\bold{D)\quad y = 2sin(3x)}$

Step-by-step explanation:

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

In the given graph,

• A (amplitude) = 2
• P (period) = $\dfrac{2\pi}{3}$ --> B = 3
• Phase Shift $\bigg(\dfrac{C}{B}\bigg)$ = 0  --> C = 0
• D (vertical shift) = 0

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

see graph below for verification