Answer: [tex]\bold{y=sin(4x)+3}[/tex]
Step-by-step explanation:
[tex]\text{The standard form of a sine equation is: y=A cos(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)}[/tex]
The given information is:
- A (amplitude) = 1
- [tex]Period\bigg(\dfrac{2\pi}{B}\bigg)=\dfrac{\pi}{2}}\qquad \implies B=4[/tex]
- D (Vertical shift) = +3
[tex]\implies \large\boxed{y=sin(4x)+3}[/tex]
