Answer
vertex: $(1,20)$
axis of symmetry: $x=1$
minimum value: $2$
range: $y\le 2$
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 $(1, 2)$.
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 maximum value.
Hence, the maximum value is $2$.
The values of the function are all less than or equal to $2$.
Thus, the range is $y\le 2$.