1. ## 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.

2. Originally Posted by zigzags21
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.
Not exactly certain what you are looking for - so I'm guessing:

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

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

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

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

3. I used a TI84