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: 21

Answer

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Work Step by Step

The equation in standard form: $5x^2+12y=0\\x^2=-\frac{12}{5}y$ Identify the focus, directrix, and axis of symmetry. The equation has the form $x^2=4py$ where $p=\frac{-3}{5}$. The focus is $(0,\frac{-3}{5})$. The directrix is $x =-p=\frac{3}{5}$. Because $x$ is squared, the axis of symmetry is the y-axis. Find some values and plot points: $x=-1 \rightarrow y=\pm 1.55\\x=-2 \rightarrow y=\pm 2.19\\x=-3 \rightarrow y=\pm 2.68\\x=-4 \rightarrow y=\pm 3.098\\x=-5 \rightarrow y=\pm 3.46$
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