use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1. the vertex is the . the function is inc
2 answers:
Answer:
The peak of the parabola indicates the highest point, which is(-1,0). The function is rising for x <-1 and declining for x >-1. The domain covers all real numbers. The function’s range encompasses all real numbers up to and including 0.
Step-by-step explanation:
The given function is
....(1)
The standard vertex form of the parabola is
.....(2)
Where (h,k) denotes the vertex and a represents the stretch factor.
Upon comparing (1) and (2), we find
The vertex of the parabola is (-1,0). Given that a=-1<1, we confirm this is a parabola that opens downward.
The line of symmetry is x=-1. Thus, the function increases prior to -1 and decreases thereafter.
The vertex on a downward-facing parabola signifies the maximum point. As a result, the function's range cannot exceed 0.
<pThus, the vertex represents the highest point, i.e.,(-1,0). The function ascends when x<-1 and descends when x>-1. The domain includes all real numbers. The range is all real numbers less than or equal to 0.You might be interested in