Answer:
[tex] \boxed{\sf -2} [/tex]
Step-by-step explanation:
[tex] \sf Evaluate \: - {x}^{2} - 4x - 6 \: where \: x = - 2: \\ \sf \implies - {x}^{2} - 4x - 6 = - {( - 2)}^{2} - 4( - 2) - 6 \\ \\ \sf {( - 2)}^{2} = 4 : \\ \sf \implies - \boxed{ \sf 4} - 4( - 2) - 6 \\ \\ \sf - 4( - 2) = 8 : \\ \sf \implies - 4 + \boxed{ \sf 8} - 6 \\ \\ \sf - 4 + 8 - 6 = 8 - (4 + 6) : \\ \sf \implies 8 - (4 + 6) \\ \\ \sf 4 + 6 = 10 : \\ \sf \implies 8 - \boxed{ \sf 10} \\ \\ \sf \implies - 2[/tex]
