Let y[n] = x[n] * h[n], where * denotes convolution and x[n] and h[n] are two discrete time sequences, Given that the z-transform of y[n] is y(z) = 2+ 3z$^{-1}$ + z$^{-2}$, the z- transform of p[n] = x[n] * h [n-2] is
- 2 + 3z + z$^{-2}$
- 3z +z$^{-2}$
- 2z$^2$ + 3z + 1
- 2z$^{-2}$ + 3z$^{-3}$ + z$^{-4}$