SOLUTION: I need a little help. Does this parabola open up/down or left/right? {{{Y^2}}} -{{{(x^2/4)}}} = 1

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Question 1079778: I need a little help. Does this parabola open up/down or left/right?
- = 1

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52909)   (Show Source): You can put this solution on YOUR website!
.
I need a little help. Does this parabola open up/down or left/right?
- = 1
~~~~~~~~~~~~~~~~~~~~~~

 - = 1  --->

 =   --->

y = +/- 





Plots y =  (red) and y =  (green)

It is not a parabola . . .


Actually, it is a hyperbola, instead.



Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
I need a little help. Does this parabola open up/down or left/right?
- = 1

------ Multiplying by LCD, 4
The COEFFICIENTS on the 2nd degree variables are DIFFERENT, and the signs on them (+ & -) are different also. Therefore, this is a HYPERBOLA.
Since the x term is NEGATIVE, this HYPERBOLA OPENS UP and DOWN (vertically).
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