Respuesta :

In order to find the equivalent expression, let's expand the term in parenthesis:

[tex]\begin{gathered} g(x)=-4(x-7)^2-9 \\ g(x)=-4(x^2-14x+49)-9 \\ g(x)=-4x^2+56x-196-9 \\ g(x)=-4x^2+56x-205 \end{gathered}[/tex]

So the correct option is A.