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Math Help - Hyperbola Equation Help

  1. #1
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    Hyperbola Equation Help

    hey I need to get the standard form equation of a hyperbola with the following information:

    Asymptotes of y= 3x and y= -3x, with vertex at (0,6).

    Thanks
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  2. #2
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    Quote Originally Posted by TacticalPro View Post
    hey I need to get the standard form equation of a hyperbola with the following information:

    Asymptotes of y= 3x and y= -3x, with vertex at (0,6).

    Thanks
    In this case the hyperbola opens up/down. Thus the equation for the asymptotes is
    y - k = \pm \frac{a}{b}(x - h)
    where (h, k) is the center of the hyperbola.

    From your asymptote equations y = 3x and y = -3x it is clear that the center is C(0, 0). So your hyperbola has the form:
    -\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1

    What is the relationship between a and b? (Look at the general equation for the asymptotes.)

    You have a point V(0, 6) on the hyperbola. How can you use that?

    -Dan
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