Question

Plz help me with this

Answer 1

Answer:
`\bold{y=sin(4x)+3}`

Explanation:

`\text{The standard form of a sine equation is: y=A cos(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)}`

The given information is:

• A (amplitude) = 1
• 
  `Period\bigg((2\pi)/(B)\bigg)=(\pi)/(2)}\qquad \implies B=4`
• D (Vertical shift) = +3

`\implies \large\boxed{y=sin(4x)+3}`