Answer
Please see the graph.
Work Step by Step
$f(x) = (x-6)^2$
Axis of symmetry:
$f(x) = (x-6)^2$
$f(x) = (x- 6)^2$
$x=6$
Vertex:
$f(x) = (x-6)^2$
$f(6) = (6-6)^2$
$f(6)=0^2$
$f(6) = 0$
The green line $x=6$ is the axis of symmetry, the black dot at $(6,0)$ is the vertex, and the red line is the function $(x-6)^2$.
