Conic Sections: The Hyperbola - Part 2

With the standard form of the hyperbola being

\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1

and given the eccentricity, e > 1, we can define and determine all of the features of the hyperbola.

For instance, the...

• vertices are located at coordinates (a,0) and (-a,0)
• conjugate axis is formed by the coordinates (0,b) and (0,-b)
• foci are located at (ea,0) and (-ea,0)
• directrices have equations: x = a/e and x = -a/e
• asymptotes have the equations: y = (b/a)x and y = -(b/a)x