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--- urp:graphing [2021-10-19]
nerf_herder
+++ urp:graphing [2021-10-21] (current)
nerf_herder
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 ===Parabolas===
+Any point on a parabola is equidistant from the focus and the directrix
 vertex of a parabola in quadratic form: for y = ax^2 + bx + c, then x = -b/2a
 {{ :urp:parabola.jpg?400|}}
-Any point on a parabola is equidistant from the focus and the directrix
 standard form of a parabola:
@@ Line 42: / Line 43: @@
 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.

The Ungerecht Family Tree