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Math Help - finding hyperbola vertices, ect.

  1. #1
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    Red face finding hyperbola vertices, ect.

    Find the vertices, foci, and the equations of the asymptotes of the hyperbola.


    I am having trouble with this because I can't seem to find the right "a"

    When I put the equation in standard form would "a" be 1 or 9/1? and then when I get the vertices I use the equation: (h+a,k) and (h-a,k). So it would be (0+1,0) or (0+9,0) and neither of these are the correct answer.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by RenSully View Post
    Find the vertices, foci, and the equations of the asymptotes of the hyperbola.


    I am having trouble with this because I can't seem to find the right "a"

    When I put the equation in standard form would "a" be 1 or 9/1? and then when I get the vertices I use the equation: (h+a,k) and (h-a,k). So it would be (0+1,0) or (0+9,0) and neither of these are the correct answer.
    So you have
    9x^2-\frac{16}{9}y^2=1

    Then

    \frac{x^2}{\frac{1}{9}}-\frac{y^2}{\frac{9}{16}}=1
    and

    \frac{x^2}{(\frac{1}{3})^2}-\frac{y^2}{(\frac{3}{4})^2}=1

    Does this make any sense to you?
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  3. #3
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    yes, absolutely! Thanks for reminding me. I didn't even think of it that way. I took college algebra 5 years ago so I am very rusty.
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