Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 9 Quadratic Relations and Conic Sections - 9.2 Graph and Write Equations of Parabolas - 9.2 Exercises - Skill Practice - Page 623: 9

Answer

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Work Step by Step

The equation in standard form: $y^2=-2x$ Identify the focus, directrix, and axis of symmetry. The equation has the form $y^2=4px$ where $p=-0.5$. The focus is $(-0.5,0)$. The directrix is $x =-p=0.5$. Because $y$ is squared, the axis of symmetry is the x-axis. Find some values and plot points: $x=-1 \rightarrow y=\pm 1.41\\x=-2 \rightarrow y=\pm 2\\x=-3 \rightarrow y=\pm 2.45\\x=-4 \rightarrow y=\pm 2.83\\x=-5 \rightarrow y=\pm 3.16$
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