A function y[n] has the unilateral z-transform (a) Find the z-transform of y1[n...

A function y[n] has the unilateral z-transform

(a) Find the z-transform of y₁[n] = y[n - 3]u{n — 3].

(b) Find the z-transform of y₂[n] = y[n + 3]u[n].

(c) Evaluate y[n] for n = 0 and 3, y[n - 3]u[n - 3] for n = 3, and y[n + 3]u[n] for n = 0 by expanding the appropriate z-transform into power series.

(d) Are the values found in part (c) consistent? Explain why.