Answer:
The vertex is (-1, -4)
Explanation:
Let's find the vertex by completing the square of y= -x^2 - 2x - 5.
Isolate the first two terms inside parentheses: y= -(x^2 + 2x) - 5
Now complete the square of the expression inside these parentheses:
y = -(x^2 + 2x + 1 - 1) - 5
and rewrite this as
y = -(x + 1)^2 + 1 - 5, or
y = -(x + 1)^2 - 4
(x + 1) tells us that the x-coordinate of the vertex, h, is -1, and the -4 term tells us that the y-coordinate, k, is -4.
The vertex is (-1, -4)