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Math 20-1 Formula Sheet Quadratic Functions and Equations Algebra and Number Function (expanded form) y ax 2 bx c Function (vertex form) y a x p q Equation and Quadratic Formula For ax 2 bx c = 0 Absolute Value 2 x x if x 0 x x if x 0 b b2 4ac 2a Relations and Functions Arithmetic Sequence: General term tn t1 n 1 d Arithmetic Series n 2t1 n 1 d 2 n Sn t1 tn 2 tn t1 r n 1 Sn Arithmetic Series: Alternate Formula Geometric Sequence: General term Geometric Series Sn Geometric Series: Alternate formula Infinite Geometric Series t1 r n 1 , r 1 r 1 r tn t1 Sn , r 1 r 1 t S 1 , r 1 1 r Trigonometry For the rotation angle shown: r y x cos r r 2 2 2 x y r sin y tan x For the oblique triangle ABC shown: A Sine Law: a b c sin A sin B sin C b a 2 b 2 c 2 2bc cos A c Cosine Law: B or C a cos A b2 c2 a 2 2bc y x