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]
[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]
