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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