Your Practice Set – Applications and Interpretation for IBDP Mathematics
SUMMARY POINTs
� Summary of transformations :
f ( kx )
kf ( x )
f( x ) x f ( x) � f ( x) � k :
Translate upward by k units f ( x) � f ( x)
� k : Translate downward by
k units f ( x) � f ( x � h) :
Translate to the left by h units f ( x) � f ( x � h)
: Translate to the right by
h units f ( x) � kf ( x)
: Vertical stretch of scale factor k f ( x) � f ( kx) : Horizontal compression of scale factor k
f ( x) �� f ( x) :
Reflection about the x -axis f ( x) � f ( � x) : Reflection about the y -axis
�
|
ax � b Properties of rational function y
� cx � d
|
1 . |
1 y �
: Reciprocal function x
|
2 . |
a y �
: Horizontal asymptote c
|
3 . |
d x ��
: Vertical asymptote c
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Solutions of Chapter 1
2
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