Summary of Translation, Reflection, Stretching, and Shrinking
For y = f(x) = x3, consider the expression
A (Bx + C)3 + D .
The constants A, B, C, and D can be thought of as follows.
A: X-axis reflector (+/-)
vertical stretcher ( |A| > 1 ) or shrinker ( 0 < |A| < 1 )
B: Y-axis reflector(+/-) and
horizontal shrinker ( |B| > 1 ) or stretcher ( 0 < |B| < 1 )
C: Horizontal shifter (-/+ for à / ß)
D: Vertical shifter (+/- for up/down)