Answer:
Step-by-step explanation:
The vertex can be located most easily by completing the square of
f(x) = -X^2 - 2x - 1 (which is equivalent to -(x^2 + 2x + 1). The latter expression can be rewritten as -(x + 1)^2, which indicates that the x-coordinate of the vertex is -1. The corresponding y-value is 0. Vertex is at (-1, 0).
The function is increasing for x < -1 and decreasing for x > -1.
The domain of the function is "all real numbers."
The range is (-infinity, 0)
