- #1
Niaboc67
- 249
- 3
Homework Statement
Homework Equations
General Hyperbola form: x^2/a^2 - y^2/b^2 = 1 or y^2/a^2 - x^2/b^2 = 1[/B]
The Attempt at a Solution
I am confused by this because I think I am close to the question but I have something fundamentally wrong.
What I know is since it's in a horizontal form it's going to be x^2/a^2 - y^2/b^2
Then I know that the vertex is (-6,0) so then the vertices is (-/+6,0) or rather √(36) so would this be x^2/36 - y^2/b^2 at this point? I don't see a way to get b^2 after this?
Another conflict I have here is that I know the asymptotes are y= -/+ b/a for this. So for b to become 1 it b must be √(1) and for a to become 5 it must be √(25) so then I come to the conclusion that the equation must be:
x^2/1 - y^2/√(25) = 1, but that wouldn't make any sense since the higher denominator is what makes it vertical/horizontal and since it's in the horizontal form the x^2 must have a higher denominator.
Please help
Thank you