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!

Homework Help: Asymptotes for hyperbolas q2 problem :S

  1. Aug 12, 2006 #1
    Does the equation (x+1)^2-4y^2 = 0 have asymptotote??
    i graphed it and from the graph it does not look like a hyperbola because it seems to intersect at the point x = -1 y = 0 :frown:

    Thanks HallsofIvy for helpin me with the previous asymptote hyperbola prob
  2. jcsd
  3. Aug 13, 2006 #2
    The equation you wrote doesn't describe a hyperbola but two straight lines intersecting in the point (-1, 0). In fact you can write

    [tex](x+1)^2- 4 y^2 = 0 \Rightarrow (x +1 - 2 y) (x +1 + 2 y) =0[/tex]

    which implies

    [tex]x+1 -2y=0[/tex]


    [tex]x + 1 + 2 y =0[/tex]

    (the stright line equations).

    If the equation was


    it described a hyperbola shifted back along the x-axis with vertex in (-1,0).
    The previously stright line equations are the asymptotes.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook