Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.2 - Quadratic Functions - Concept and Vocabulary Check - Page 329: 1

Answer

The quadratic function $f\left( x \right)=a{{\left( x-h \right)}^{2}}+k,a\ne 0$ , is in standard form. The graph of f is called a parabola whose vertex is the point $\left( h,k \right)$. The graph opens upward if a $>0$ and opens downward if a $<0$.”

Work Step by Step

The standard equation of the parabola is given by $f\left( x \right)=a{{\left( x-h \right)}^{2}}+k$. For the function of the Parabola, the vertex is $\left( h,k \right)$ and the coefficient of ${{x}^{2}}$ decides the opening of the parabola -- either it opens upward or downward. The condition for opening the parabola is as follow. If $a>0$ , parabola opens upward and If $a<0$ , parabola opens downward.
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