From 257cebce53bb115f458965583d1c1928246cef88 Mon Sep 17 00:00:00 2001 From: zleyyij Date: Tue, 2 Jan 2024 10:29:25 -0700 Subject: [PATCH] vault backup: 2024-01-02 10:29:25 --- education/math/Quadratics.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/education/math/Quadratics.md b/education/math/Quadratics.md index 763285e..1d7d00b 100644 --- a/education/math/Quadratics.md +++ b/education/math/Quadratics.md @@ -5,7 +5,7 @@ $$ y = -5x^2 -20x + 13 $$ Given the above equation, you can factor out a -5, resulting in the equation $-5(x^2+4x) + 13)$. Half of 4 is 2, and because the inside is multiplied by -5, $-5 *4 = -20$, so you add -20 to the other side to equalize the equation, resulting in an equation in the form of $-20 + y = -5(x+2)^2+ 13$. This simplifies down to $y = -5(x+2)^2 + 33$. # Forms **Standard form (vertex form)** -$$ a(x - h)^2 + k $$ +$$ y = a(x - h)^2 + k $$ To convert to standard form given a vertex of a quadratic equation and a point that falls along that line, plug values in for everything and solve for $a$. **Quadratic form**