Quadratic Functions

� General form

� Other forms : 1 .

2 y � ax �bx � c , where a � 0 :

x

2 y a( x h) k

� h Equation of the axis of symmetry

� � � : Vertex form 2 . y � a( x � p)( x � q)

: Factored form with x -intercepts p and q b p � q

� h � � � 2a

2

� The x -intercepts of the quadratic function corresponding quadratic equation

2 ax bx c

2 y � ax �bx � c are the roots of the � � � 0

Exponential and Logarithmic Functions

x

� y� a : Exponential function , where a � 1

� y� log _a x: Logarithmic function , where a � 0

� log log10 y � x � x : Common Logarithmic function

� y �ln x � log _e x : Natural Logarithmic function , where e � 2.71828 ... is an

exponential number www . seprodstore . com

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