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.

Gradient of line AC, 21 21 y y m x x − = − Or Gradient of a line, int int y ercept m x ercept ⎛⎞− =−⎜⎟ ⎝⎠− Parallel Lines Perpendicular Lines When 2 lines are parallel, m1 =m2. When 2 lines are perpendicular to each other, mm12× =−1 m1 = gradient of line 1 m2 = gradient of line 2 Midpoint A point dividing a segment of a ...

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  Line, Segment, Derating

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