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Math Help - Hyperbola Help

  1. #1
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    Hyperbola Help

    I need help with making hyperbolas stop or end on a graphing calculator. I am trying to draw a mushroom with a parabola for the top, hyperbola for the stem, and eclipse for the base. I need them in equation format. The hyperbola needs to stop at the middle of the eclipse and am very confused on how to write an equation.
    Please help.
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  2. #2
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    Quote Originally Posted by zigzags21 View Post
    I need help with making hyperbolas stop or end on a graphing calculator. I am trying to draw a mushroom with a parabola for the top, hyperbola for the stem, and eclipse for the base. I need them in equation format. The hyperbola needs to stop at the middle of the eclipse and am very confused on how to write an equation.
    Please help.
    Not exactly certain what you are looking for - so I'm guessing:

    1. Hyperbola: x^2-y^2=1~\implies~y=\sqrt{1-x^2}

    It is drawn from (-5, \sqrt{24}) to (-1, 0) and from (1, 0) to (5, \sqrt{24})

    2. Parabola: y = -\dfrac1{25} x^2+1+\sqrt{24}

    which is drawn form (-5, \sqrt{24}) to (5, \sqrt{24})

    3. I used a TI84
    Attached Thumbnails Attached Thumbnails Hyperbola Help-hyper_pilz.png  
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