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f(x)+d
vertical translation up d units
f(x)-d
vertical translation down d units
f(x-d)
horizontal translation right d units
f(x+d)
horizontal translation left d units
-f(x)
reflection over x-axis
f(-x)
reflection over y-axis
af(x)
vertical stretch for lal>1
vertical compression for 0<lal<1
f(ax)
horizontal stretch for lal>1
horizontal compression for 0<lal<1