College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises - Page 102: 26

Answer

Refer to the image below for the graph.
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Work Step by Step

Divide both sides of the equation by $4$ to obtain: $\dfrac{4y}{4}=\dfrac{-x^2}{4} \\y = \dfrac{-x^2}{4}$ To graph the given equation, perform the following steps: (1) Create a table of values by assigning values to $x$ then solving for the corresponding value of $y$ for each one. (Refer to the attached image below) (2) Plot each ordered pair from the table of values then connect the points using a smooth curve to form a parabola. (Refer to the attached image in the answer part above for the graph.)
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