#### Answer

$(2,1)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To find the vertex of the given quadratic function, $
f(x)=-(x-2)^2+1
,$ identify $h$ and $k$ of the function $f(x)=a(x-h)^2+k.$ The vertex is located at $(h,k).$
$\bf{\text{Solution Details:}}$
In the function above, $h=
2
$ and $k=
1
.$ Hence, the vertex is
\begin{array}{l}\require{cancel}
(2,1)
.\end{array}