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What do I need to do to solve this hyperbola equation?
I need to find the equation that matches the information but I'm lost. The information I have is that the center is at (0,0), c=6 and e=3, as well as there being a horizontal focus axis.
1 Answer
- DWReadLv 78 years agoFavorite Answer
You need to know the orientation of the hyperbola.
The foci are horizontally aligned, so the hyperbola is horizontal.
General equation of a HORIZONTAL hyperbola:
(x - h)²/a² - (y - k)²/b² = 1
with
center (h, k)
c² = a² + b²
e = c/a
Match your data to the equation.
center (h, k) = (0, 0)
h = 0
k = 0
e = c/a
3 = 6/a
a = 2
c² = a² + b²
6² = 2² + b²
b² = 32
The equation becomes
y²/4 - x²/32 = 1
