Answer
$h= 2$ and $k= 5$
Work Step by Step
Given
$$\begin{aligned}
f(x) &= a(x-h)^2+ k.
\end{aligned}$$ The parabola will have vertex at $(2,5)$ if $h= 2$ and $k= 5$ because the coordinates of the vertex are $(h,k)=(2,5)$.
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 4 - Quadratic Functions - 4.2 Graphing Quadratics in Vertex Form - 4.2 Exercises - Page 316: 6
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