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urp:graphing [2021-10-19] nerf_herder |
urp:graphing [2021-10-21] (current) nerf_herder |
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| Hyperbola - difference of distance from two foci is a constant | Hyperbola - difference of distance from two foci is a constant | ||
| - | Back to [[geometry]] or [[math]] page. | + | If there are foci F and G, point P then distances |PF - PG| = C |
| + | |||
| + | Opens left/right: | ||
| + | (x-h)²/a² - (y-k)²/b² = 1 | ||
| + | center at (h, k) | ||
| + | vertices //a// units left/right of center | ||
| + | asymptotes pass through center with slope ± b/a. | ||
| + | |||
| + | Opens up/down: | ||
| + | (y-k)²/b² - (x-h)²/a² = 1 | ||
| + | center at (h, k) | ||
| + | vertices //b// units up/down of center | ||
| + | asymptotes pass through center with slope ± b/a. | ||
| + | |||
| + | Back to [[geometry]], [[algebra|algebra/pre-calc]] or [[math]] page. | ||