Respuesta :

caylus
Hello,
f(x)=x²+4x+10=x²+4x+4+6=(x+2)²+6
Vertex is (-2,6)

dalendrk
f(x) = ax² + bx + c

the vertex  (h; k) where [tex]h=\dfrac{-b}{2a};\ k=f(h)[/tex]

f(x) = x² +4x + 10

a = 1; b = 4; c = 10

[tex]h=\dfrac{-4}{2\cdot1}=\dfrac{-4}{2}=-2[/tex]

[tex]k=f(h)=(-2)^2+4\cdot(-2)+10=4-8+10=6[/tex]

Answer: (-2; 6).

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