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Equation of a hyperbola with some info given

  1. Mar 25, 2009 #1
    1. The problem statement, all variables and given/known data

    Write the equatin of the hyperbola whose center is at the origin and has a vertical transverse axis.

    2. Relevant equations
    The equations of the asymptotes are 6x+2y=0 and 6x-2y=0



    3. The attempt at a solution

    I am good at following an example (am an adult who is learning math on own).
    However, I cannot find an example like this one and I really have no idea of where to begin.
    Could you give me an example that is like this problem worked out and then I will follow it to do this problem? Thanks.
     
  2. jcsd
  3. Mar 25, 2009 #2
    The information given is not enough to define a specific hyperbola. Perhaps the question asked to write the equation of a hyperbola satisfying these conditions.
     
  4. Mar 25, 2009 #3
    Yes, I think you are right--the directions were to write the equation of a hyperbola satisfying these conditions. Can you help?
     
  5. Mar 25, 2009 #4
    In general, if a hyperbola has the equation (x^2)/(a^2)-(y^2)/(b^2)=1, then for large x and y, 1 will be negligible, so that we have (x^2)(b^2/a^2)=y^2. In the limit that x and y become "infinite," this defines the relation between the two, and acts as an asymptote.
     
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