Answer
Please see the graph.
Work Step by Step
$f(x)=-(x-1)^2 $
Axis of symmetry:
$f(x)=-(x-1)^2$
$f(x)=-(x− 1)^2$
$x=1$
Vertex:
$f(x)=-(x-6)^2$
$f(1)=-(6-6)^2$
$f(1)=-1*(0)^2$
$f(1)=0$
The red line is the function $f(x)=-(x-1)^2$, the line at $x=1$ is the axis of symmetry, and the point $(1,0)$ is the vertex.
