The vertex form for a hyperbola can be represented as either (x-h)²/a² - (y-k)²/b² = 1 or (y-k)²/a² - (x-h)²/b² = 1. In these formulas, the coordinates of the hyperbola's center are denoted by (h,k) while 'a' and 'b' signify the lengths of the semi-major and semi-minor axes respectively. The orientation is determined by which term holds a positive coefficient.
| Topic | Problem | Solution |
|---|---|---|
| None | Given the equation of a hyperbola as \(4x^2 - 9y^… | Step 1: Rearrange the equation so that it equals 1: \(\frac{x^2}{9} - \frac{y^2}{4} = 1\) |