The output y(t) of a system is related to its input x(t) as \(y\left( t \right) = \mathop \smallint \limits_0^t x\left( {\tau - 2} \right)d\tau ,\)where, x (t) = 0 and y(t) = 0 for t ≤ 0. The transfer function of the system is

• A. \(\frac{1}{s}\)
• B. \(\frac{{\left( {1 - {e^{ - 2s}}} \right)}}{s}\)
• C. \(\frac{{{e^{ - 2s}}}}{s}\)
• D. \(\frac{1}{s} - {e^{ - 2s}}\)