Your Practice Paper – Applications and Interpretation HL for IBDP Mathematics
� Summary of transformations :
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
� Variations : |
1 . |
y
�kx, k
�
0: y is directly proportional to x
|
2 . |
k y�
, k
�
0: y is inversely proportional to x x
|
4
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