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 $y\ge0$.