Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 13 - Conic Sections - 13.1 Conic Sections: Parabolas and Circles - 13.1 Exercise Set - Page 854: 4

Answer

vertex

Work Step by Step

Parabolas are conic sections that are obtained by slicing cones. If the equation of the parabola is of the form, $y=a{{\left( x-h \right)}^{2}}+k$ or $x=a{{\left( y-k \right)}^{2}}+h$, then the vertex of the parabola is $\left( h,k \right)$. A vertex of the parabola is the lowest or highest point and it is the point where the direction of the parabola changes. The correct option for the blank is “vertex”.
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