Answer
vertex: $\left(0, 5\right)$
axis of symmetry: $x=0$
minimum value: $5$
range: $y\ge 5$
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 parabola.
Notice that the vertex is at $\left(0, 5\right)$.
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 $x=0$.
The parabola opens upward so the $y$-coordinate of the vertex is the minimum value.
Hence, the minimum value is $5$.
The values of the function are all greater than or equal to $5$.
Thus, the range is $y\ge 5$.
vertex: $\left(0, 5\right)$
axis of symmetry: $x=0$
minimum value: $5$
range: $y\ge 5$
