Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 10 - Analytic Geometry - 10.3 Hyperbolas - 10.3 Exercises - Page 987: 4

Answer

$${\bf{B}}$$

Work Step by Step

$$\eqalign{ & \frac{{{{\left( {y + 1} \right)}^2}}}{{25}} - \frac{{{{\left( {x + 2} \right)}^2}}}{9} = 1 \cr & {\text{This equation is written in the form }}\frac{{{{\left( {y - k} \right)}^2}}}{{{a^2}}} - \frac{{{{\left( {x - h} \right)}^2}}}{{{b^2}}} = 1 \cr & {\text{With: }}h = - 2,\,\,\,y = - 1 \cr & ,{\text{Then}} \cr & {\text{Tranverse axis: vertical}} \cr & {\text{Center: }}\left( {h,k} \right):\left( { - 2, - 1} \right) \cr & {\text{Therefore, the solution in the column II is }}{\bf{B}} \cr} $$
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