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Given ~
[tex] \tt \: f(x) = - {x}^{2} - 4x - 12[/tex]
[tex] \: [/tex]
put the value of x = -7 in given function ~
[tex] \tt \: f( - 7) = - ( { - 7})^{2} - 4( - 7)- 12[/tex]
[tex] \: [/tex]
[tex] \tt \: f( - 7) = - 49 +28 - 12[/tex]
[tex] \: [/tex]
[tex]\tt \: f( - 7) = - 21 - 12[/tex]
[tex] \: [/tex]
[tex] \underline{ \boxed{ \tt \red{ f( - 7) = -33}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~