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!

Questions about hyperbolas

  1. Nov 30, 2004 #1
    Hey, I have a couple of _easy_ questions about hyperbolas, but its been a while since I have worked with them and am not able to look them up in my math book currently...if someone could just get me started in the right direction, I would really appreciate it :)

    Given the equation of the hyperbola: 9(x-2)^2 - 16(y-4)^2 = 144

    1. In which quadrant is its center?

    2. What are its x/y intercepts?

    Again, if you could just get me started, that would be great :biggrin:
  2. jcsd
  3. Nov 30, 2004 #2
    Since you haven't shown any attempt at solving the problem, I will just get you started. The generalized equation for a horizontal hyperbola is:
    where [itex](h,k)[/itex] is the center, a is the horizontal distance from the center to each vertex, and b is the vertical distance from the center to a point on one of the asymptotes [itex](x,y)[/itex] such that x is the x-coordinate of a vertex.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook