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 - 9.5 Graph and Write Equations of Hyperbolas - 9.5 Exercises - Quiz for Lessons 9.4-9.5 - Page 648: 2


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Given $$\frac{x^2}{16}+\frac{y^2}{49}=1$$ The equation in standard form The denominator of $x^2$ is smaller than $y^2$, so the transverse axis is vertical. Identify the vertices, foci, and asymptotes. Note that $a=7$ and $b=4$. The $x^2-term$ is negative, so the transverse axis is vertical and the vertices are at $(0,\pm 10)$. Find the foci: $c^2=a^2-b^2=7^2-4^2=33\\ \rightarrow c=\sqrt 33$ The foci are at $(0,\pm \sqrt 33)$
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