## anonymous one year ago Help please??? Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5).

1. anonymous

no one likes these conic section problems, they are not that hard

2. anonymous

as a matter of fact, you can pretty much do this one with your eyeballs, if it is clear that the center is $$(0,0)$$

3. anonymous

should be clear since that is half way between $$(-4,0)$$ and $$(4,0)$$ so your equation is going to look like $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ you only need $$a$$ and $$b$$ which you are given in the question

4. anonymous

are is a 4 and b 5?

5. anonymous

yes

6. anonymous

so the equation is $\frac{ x ^{2} }{ 4^{2}}+\frac{ y ^{2} }{ 5^{2}}=1$

7. anonymous

no,put a minus sign there