Final answer:
To sketch x[n-2], shift the original signal [2, 0, 3, 1, 1, -1] to the right by two units, resulting in [0, 0, 2, 0, 3, 1, 1, -1].
Step-by-step explanation:
To sketch x[n-2], we need to shift the given discrete-time signal x[n] to the right by two units. The original signal is x[n]= [2, 0, 3, 1, 1, -1]. When we shift this sequence two units to the right, the first two elements of the original signal will no longer be within the range of the shifted signal. Therefore, the first two values of the new sequence will be zero (this assumes that the signal is zero for any index not given). The sketch of x[n-2] will then start with two zeros followed by the original signal values.
The resulting sequence for x[n-2] will be [0, 0, 2, 0, 3, 1, 1, -1]. When plotted, it will be a discrete sequence of vertical lines (or dots) where height corresponds to the signal amplitude at each discrete time instance n.