Respuesta :

Step-by-step explanation:

Vertex's x-coordinate = -b/2a = -4/2 = -2

Vertex's y-coordinate = (-2)² + 4(-2) - 1 = -5

Hence the vertex is (-2, -5).

Answer:

[tex]vertex = (-2,-5)[/tex]

Step-by-step explanation:

[tex]y=x^{2} +4x-1\\\\y=x^2+4x+4-4-1\\\\y=(x+2)^2-5[/tex]

for

[tex]y=(x-h)^2+c\\\\vertex = (h,c)[/tex]

in our equation we have

[tex]h=-2\\\\c=-5[/tex]

so the vertex is

[tex](-2,-5)[/tex]

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