Answer: [tex](-4,-7)[/tex]
Step-by-step explanation:
By definition, the equation of parabola in Vertex form is:
[tex]y=a(x - h)^2 + k[/tex]
Where (h, k) is the vertex of the parabola.
You need to remember that multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Then given the equation [tex]y = -(x + 4)^2 - 7[/tex], you know that this is:
[tex]y = -(x -(-4))^2 +(-7)[/tex]
You can observe that the value of "h" and the value of "k" of this equation are:
[tex]h=-4\\k=-7[/tex]
Therefore, the vertex is:
[tex](-4,-7)[/tex]
