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up by c units
y=f(x)+c
down by c units
y=f(x)-c
left by c units
y=f(x+c)
right by c units
y=f(x-c)
reflection over x axis
y=-f(x)
reflection over y axis
y=f(-x)
if a>1, vertical stretch. if 0<a<1 (it is a decimal), vertical compression
y=af(x)
if b>1, horizontal compression; if 0<b<1, horizontal stretch.
y=f(bx)