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Homework Help: Finding the equation of a hyperbola

  1. Dec 19, 2009 #1
    1. The problem statement, all variables and given/known data


    Problem : Find an equation and sketch in x-y coordinates for the Hyperbola with vertex (-1,7) and asymptotes y-5=+- (x+1)

    3. The attempt at a solution

    To find the equation of the hyperbola i have to find the length of a ( distance from center to vertex in focal axis ) and b to put them in the equation y^2/a^2 - x^2/b^2 = 1 so far i have found the center (-1,5) and vertex are (-1,7) and (-1,3) so i get a = 2 But how can i get the value of b to put it in the equation ? Thanks :)
     
  2. jcsd
  3. Dec 19, 2009 #2

    tiny-tim

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    Hi farmd684! :smile:

    (try using the X2 tag just above the Reply box :wink:)

    If the question gives you lemons … make lemonade! :biggrin:

    For y2/a2 - x2/b2 = 1, what is the slope of the asymptotes? :wink:
     
  4. Dec 19, 2009 #3
    Thanks for the reply :biggrin:

    the slope i guess is a/b for y2/x2. Then what should i do.
     
  5. Dec 19, 2009 #4

    tiny-tim

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    Well, if you know a/b and you know a, then b = … ? :smile:
     
  6. Dec 19, 2009 #5
    Thanks :smile:
     
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