Analysis and Approaches HL Practice Paper Book | Page 14

Your Practice Paper – Analysis and Approaches HL for IBDP Mathematics

1

Standard Form

� Standard Form : A number in the form ( �) a� 10 ^k , where 1�a � 10 and k is an integer

2

Quadratic Functions

� General form

2 y � ax �bx � c , where a � 0 : a � 0

The graph opens upward a � 0 The graph opens downward c y -intercept b h �� x -coordinate of the vertex

2a

2 k � ah �bh � c

x y -coordinate of the vertex Extreme value of y

� h Equation of the axis of symmetry

� Other forms : 1 .

2 y a( x h) k

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

: Factored form with x -intercepts p and q

� Solving the quadratic equation

� � � 0, where a � 0 :

2 ax bx c 1 . Factorization by cross method

2

� � � 4 2 . x � ^{b b ac} : Quadratic Formula

2a 3 . Method of completing the square

2

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