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: 18


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Work Step by Step

The equation in standard form: $6y^2=14x\\y^2=\frac{7}{3}x$ Identify the focus, directrix, and axis of symmetry. The equation has the form $y^2=4px$ where $p=\frac{7}{12}$. The focus is $(\frac{7}{12},0)$. The directrix is $x =-p=-\frac{7}{12}$. Because $y$ is squared, the axis of symmetry is the x-axis. Find some values and plot points: $x=1 \rightarrow y=\pm 1.53\\x=2 \rightarrow y=\pm 2.16\\x=3 \rightarrow y=\pm 3.06\\x=4 \rightarrow y=\pm 3.42\\x=5 \rightarrow y=\pm 3.42$
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