![\qquad\qquad\huge\underline{{\sf Answer}}♨](https://img.qammunity.org/2023/formulas/mathematics/high-school/9i0w68d389o7if115lspdd6j8oy1la0lcz.png)
Here we go ~
The required equation is :
![\qquad \sf \dashrightarrow\: y = asin(bx) +k](https://img.qammunity.org/2023/formulas/mathematics/college/rhzhi3dpx26swzb1qn1omu2ssnydbiv77a.png)
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
![\qquad\dashrightarrow \sf\: y = -3sin((\pi)/(2)x)+1](https://img.qammunity.org/2023/formulas/mathematics/college/r8f21cri25etk6bz3zdwtdo947x8ldghjy.png)