Use the given information to find the equation for the ellipse. Center at (5, −5), vertex at (8, −5), focus at (7, −5)

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Remington Wells · Accepted Answer

let the equation of exlipse be            (      x      −      α              )        2            )              a      2        +            (      y      −      β              )        2                    b      2        =  1the coordinate of vortex, focus and center are   (  α  +  a  ,  β  )  ,  (  α  +  a  e  ,  β  ) and   (  α  ,  β  )Given equationscenter =(5,-5)vertex =(8,-5)focus =(7,-5)So,  α  +  a  =  8  ⇒  a  =  8  −  5  =  3    β  =  −  5    α  =  5    α  +  a  e  =  7  ⇒  b  =      5

Use the given information to find the equation for the ellipse. Center at (5, −5), vertex at (8, −5), focus at (7, −5)

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