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