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Math Help - Hyperbolas

  1. #1
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    Hyperbolas

    I need help graphing a hyperbola not in standard form. I don't understand how to use the squaring method (I'm pretty sure we haven't learned that yet). The equation is 4y^2 - 9x^2 = 1.
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  2. #2
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    Quote Originally Posted by bandgeek View Post
    I need help graphing a hyperbola not in standard form. I don't understand how to use the squaring method (I'm pretty sure we haven't learned that yet). The equation is 4y^2 - 9x^2 = 1.

    The standard form of a hyperbola is

    \frac{y^2}{b^2}-\frac{x^2}{a^2}=1

    so we are really close to what we need
    we need to get the four into the denominator some how? hmmm..

    lets try an experiment....

    4=\frac{4}{1}=\frac{\frac{1}{4}\cdot 4}{\frac{1}{4}}=\frac{1}{\frac{1}{4}}

    using this one the above we get

    \frac{y^2}{\frac{1}{4}}-\frac{x^2}{\frac{1}{9}}=1

    Now we just need to write them as squares so we get

    \frac{y^2}{\left(\frac{1}{2}\right)^2}-\frac{x^2}{\left(\frac{1}{3}\right)^2}=1

    I hope this helps.
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