What happens to the output of an LTI system when the input is delayed by t 0?

Correct option is C

​$$\text{For a Linear Time-Invariant (LTI) system, one of the fundamental properties is time invariance.} \\[8pt]\text{If:} \\[6pt]\bullet \ \text{Input } x(t) \text{ produces output } y(t) \\[8pt]\text{Then:} \\[6pt]\bullet \ \text{A delayed input } x(t - t_0) \text{ produces a delayed output:} \\[6pt]y(t - t_0) \\[10pt]\text{So, delaying the input by } t_0 \text{ results in the output being delayed by the same amount, with no change in shape or amplitude.}$$​​