Look at the attachment

Answer:
D
Step-by-step explanation:
Given y = f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
The translation [tex]\left[\begin{array}{ccc}0\\-3\\\end{array}\right][/tex] represents a vertical translation with c = - 3, thus
y = sin x - 3 → D