Respuesta :

[tex] f(x)=x^2+4x+7 \\
f(x)=x^2+4x+4+3\\
f(x)=(x+2)^2+3 [/tex]

f(x) = x^2 + 4x + 7

f(x) = x^2 + 4x + 4 + 3

f(x) = (x + 2)^2 + 3

Vertex (h, k) where h = - 2 and k = 3

So vertex (-2 , 3)