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Transformation

STUDY
PLAY
vertical translation
y=f(x) >>> y=f(x) +k
horizontal translation
y=f(x) >>> y=f(x-h)
vertical stretch
y=f(x) >>> y=af(x)
If a>1, the graph is stretched by "a"
vertical compression
y=f(x) >>> y=af(x)
If 0<a<1, the graph is compressed by a factor of a
horizontal stretch
y=f(x) >>> y=f(bx)
If 0<b<1, the graph is stretched by a factor of 1/b
horizontal compression
y=f(x) >>> y=f(bx)
If b>1, the graph is compressed by a factor of 1/b
reflection across y axis
y=f(x) >>> y=f(-x)
reflection across x axis
y=f(x) >>> y= -f(x)