Answer
vertex: $(-1, 0)$
axis of symmetry: $x=-1$
minimum value: $0$
range: $y\ge0$
Work Step by Step
Use a graphing utility to graph the given function.
Refer to the graph below.
The vertex is the lowest or highest point on the prarabola.
Notice that the vertex is at $(-1, 0)$.
The axis of symmetry of the graph is the line $x=h$ where $h$ is the $x$-coordinate of the vertex. Thus, the axis of symmetry is $x=-1$.
The parabola opens downward so the $y$-coordinate of the vertex is the minimum value.
Hence, the minimum value is $0$.
The values of the function are all greater than or equal to zero.
Thus, the range is $y\ge0$.
