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 - Exercise Set - Page 330: 12


The required value is\[\left( -4,\ -8 \right)\]

Work Step by Step

The quadratic function in its standard form can be written as $f\left( x \right)=a{{\left( x-h \right)}^{2}}+k,\,\,\,\,\,\,\,\,a\ne 0$. Here, $a,\ h,\ k$ are constants and $x$ is a variable. The graph of $f\left( x \right)$ is a parabola which is symmetric about the line $x=h$ Now, the coordinates of the vertex of the parabola are $\left( h,\ k \right)$. Let us consider the given function $f\left( x \right)=-2{{\left( x+4 \right)}^{2}}-8$. Compare the function with the standard form. The point $\left( h,\ k \right)$ is $\left( -4,-8 \right).$
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