Intermediate Algebra: Connecting Concepts through Application

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

Chapter 1-8 - Cumulative Review - Page 679: 50

Answer

See graph

Work Step by Step

Given \begin{equation} y=-0.3(x-7)^2+30. \end{equation} This is an equation of a parabola in standard vertex form. Let's determine the vertex so that we can mark it on the graph. The $x$ and $y$ of the vertex are found from the function. \begin{equation} \begin{aligned} x&=7\\ y&=30. \end{aligned} \end{equation} The vertex is $(7,30)$. The graph of the function is shown in the figure below with the horizontal and vertical intercepts labelled. The vertex is also labelled.
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