Answer:
The coordinates of the vertex are [tex] (-2, -6)[/tex]
Step-by-step explanation:
The graph of this function is a parabola that opens up in the Cartesian plane. We can find like this:
[tex]y = (x ^ 2 + 4x +4) +6 = (x + 2) ^ 2 +6[/tex], where, [tex](y - 6) = (x + 2) ^ 2[/tex]
In the canonical equation of the parabola:
[tex](y - k) = (x + h) ^ 2[/tex], with the point (h, k) as the vertex, [tex]h = -2[/tex] and [tex]k = 6[/tex].
Conclusion: the coordinates of the vertex are [tex](-2, -6)[/tex]
