A signal has \(FT\;x\left( t \right)\mathop \leftrightarrow \limits^{FT} X\left( {j\omega } \right) = {e^{ - j\omega }}\left| \omega \right|{e^{ - 2\left| \omega \right|}}\) Without determining x(t), use the scaling property to find the FT representation of y(t) = x( - 2t).

• A. \(Y\left( {j\omega } \right) = \left( {\frac{1}{2}} \right){e^{\frac{{j\omega }}{2}}}\left| {\frac{\omega }{2}} \right|{e^{\left| \omega \right|}}\)
• B. \(Y\left( {j\omega } \right) = \left( {\frac{1}{2}} \right){e^{\frac{{j\omega }}{2}}}\left| {\frac{\omega }{2}} \right|{e^{2\left| \omega \right|}}\)
• C. \(Y\left( {j\omega } \right) = \left( {\frac{1}{2}} \right){e^{\frac{{j\omega }}{2}}}\left| {\frac{\omega }{2}} \right|{e^{ - 2\left| \omega \right|}}\)
• D. \(Y\left( {j\omega } \right) = \left( {\frac{1}{2}} \right){e^{\frac{{j\omega }}{2}}}\left| {\frac{\omega }{2}} \right|{e^{ - \left| \omega \right|}}\)