d
(d) \(y = A\sin (at - bx + c)\) represents equation of simple harmonic progressive wave as it describes displacement of any particle \((x)\) at any time \((t)\).

or It represents a wave because it satisfies wave equation \(\frac{{{\partial ^2}y}}{{\partial {t^2}}} = {v^2}\frac{{{\partial ^2}y}}{{\partial {x^2}}}\).