1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    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


    User Avatar
    Science Advisor
    Homework Helper

    Well, if you know a/b and you know a, then b = … ? :smile:
  6. Dec 19, 2009 #5
    Thanks :smile:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Finding equation hyperbola Date
Find the general solution of the given differential equation... Feb 16, 2018
Find f(x) which satisfies this integral function Jan 24, 2018