Find the center, transverse axis, vertices, foci, and asymptotes. ( x − 5 ) 2 25 − ( y + 7 ) 2 49 = 1

Question

Find the center, transverse axis, vertices, foci, and asymptotes.            (      x      −      5              )        2              25    −            (      y      +      7              )        2              49    =  1

darkangel5991we · Accepted Answer

(      x      −      5              )        2              25    −            (      y      +      7              )        2              49    =  1              (      x      −      h              )        2                    a      2        −            (      y      −      L              )        2                    b      2        =  1Compare 1 and 2Vertices  =  (  h  ±  a  ,  k  )    =  (  5  ±  5  ,  −  7  )    =  (  10  ,  −  7  )  (  0  ,  −  7  )foci   =  (  h  ±  c  ,  k  )    =  (  5  ±      ±    4    ,  −  7  )    =  (  5  ±      7    ,  −  7  )  ,  (  5  −      7    ,  −  7  )  Asymptoty  y  =  −      7    5    (  x  −  5  )  −  7    y  =            −      7      x        5    +  7  +  7    y  =  −            7      x        5

Find the center, transverse axis, vertices, foci, and asymptotes. (x-5)^2/25-(y+7)^2/49=1

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