Cho parabol \( \left( P \right): \, \,y={{x}^{2}}+3. \, \, \overrightarrow{u}= \left( 1;4 \right). \, \,{{T}_{ \overrightarrow{u}}} \left( P \right) \mapsto \left( P' \right). \) Tìm phương trình \( \left( P' \right) \).
A.\(\left( P' \right):\,\,y'={{x}^{2}}-2x+12\).
B.\(\left( P' \right):\,\,y'={{x}^{2}}-2x+9\).
C.\(\left( P' \right):\,\,y'={{x}^{2}}-3x+8\).
D.\(\left( P' \right):\,\,y'={{x}^{2}}-2x+8\).