## Intermediate Algebra (12th Edition)

$(5,6)$
$\bf{\text{Solution Outline:}}$ To find the vertex of the given quadratic function, $f(x)=-(x-5)^2+6 ,$ 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, $h= 5$ and $k= 6 .$ Hence, the vertex is \begin{array}{l}\require{cancel} (5,6) .\end{array}