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 - Linear Functions - 1.3 Fundamentals of Graphing and Slope - 1.3 Exercises - Page 51: 22

Answer

Plot the points $(-3,-5.5),(-2,2),(0,8),(2,2),(3,-5.5)$ and join them with a smooth curve

Work Step by Step

We are given the equation: $y=-1.5x^2+8$ Determine 5 points belonging to the graph: $x=-3\Rightarrow y=-1.5(-3)^2+8=-5.5$ $x=-2\Rightarrow y=-1.5(-2)^2+8=2$ $x=0\Rightarrow y=-1.5(0^2)+8=8$ $x=2\Rightarrow y=-1.5(2^2)+8=2$ $x=3\Rightarrow y=-1.5(3^2)+8=-5.5$ Plot the points $(-3,-5.5),(-2,2),(0,8),(2,2),(3,-5.5)$ and join them with a smooth curve to graph the function:
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