Add Maths Formulae List: Form 4 (Update 18/9/08)

Add Maths Formulae List: form 4 (Update 18/9/08). 01 Functions Absolute Value Function Inverse Function If y = f ( x ) , then f 1 ( y ) = x f ( x ), if f ( x ) 0. f ( x) Remember: f ( x), if f ( x ) < 0 Object = the value of x Image = the value of y or f(x). f(x) map onto itself means f(x) = x 02 Quadratic Equations General form Quadratic Formula ax 2 + bx + c = 0. b b 2 4ac where a, b, and c are constants and a 0. x=. 2a *Note that the highest power of an unknown of a quadratic equation is 2. When the equation can not be factorized. Forming Quadratic Equation From its Roots: Nature of Roots If and are the roots of a quadratic equation b c + = = b 2 4ac >0 two real and different roots a a b 2 4ac =0 two real and equal roots The Quadratic Equation b 2 4ac <0 no real roots x 2 ( + ) x + = 0 b 2 4ac 0 the roots are real or x ( SoR ) x + ( PoR ) = 0. 2. SoR = Sum of Roots PoR = Product of Roots 1. 03 Quadratic Functions General form Completing the square: f ( x) = ax 2 + bx + c f ( x) = a ( x + p)2 + q where a, b, and c are constants and a 0.

ONE-SCHOOL.NET http://www.one-school.net/notes.html 1 Add Maths Formulae List: Form 4 (Update 18/9/08) 01 Functions Absolute Value Function Inverse Function

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