Answer
$h= 0$ and $k= 0$
Work Step by Step
Given $$\begin{aligned}
f(x) &= a(x-h)^2+ k.
\end{aligned}$$ The vertex of a parabola is $(h,k)$. For the origin to be the vertex we must have $$(h,k)=(0,0)\implies h= 0, k= 0.$$
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: 9
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