Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX C - Graphs of Second-Degree Equations - C Exercises: 14

Answer

Parabola
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Work Step by Step

The vertex, the point where the parabola changes direction, is the origin. We see that the parabola $x = ay^{2} $opens to the right side if $a>0$ and opens to the left side if $a <0$ . Given: $x = -2y^{2} $ Here, $a=-2$ This represents the equation of a parabola which has the standard form as follows: $y=a(x-h)^{2} +k $ vertex, $(h,k) =(0,0)$ The graph will be a parabola that opens to the left side as depicted below:
Small 1520969684
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