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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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no one likes these conic section problems, they are not that hard
as a matter of fact, you can pretty much do this one with your eyeballs, if it is clear that the center is \((0,0)\)
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

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are is a 4 and b 5?
yes
so the equation is \[\frac{ x ^{2} }{ 4^{2}}+\frac{ y ^{2} }{ 5^{2}}=1\]
no,put a minus sign there

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