Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.7 Graphing Quadratics from Standard Form - 4.7 Exercises - Page 387: 58

Answer

The graph of the inequality is shown below with the shaded region that satisfies the inequality.

Work Step by Step

Given \begin{equation} y \leq 4 x^2-20 x-16. \end{equation} First, we will sketch the graph using a solid line because it is a "less than or equal to" inequality. If we pick $( 0, 0)$ for our test point, we find that it does not satisfy the inequality, so we should shade below the curve.
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