# Chapter 8 - Section 8.5 - Graphs of Quadratic Functions - 8.5 Exercises: 14

$(2,1)$

#### 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}

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