Precalculus Unit 4: Transformations

y=x

y=x^²

y=√x

y=x³

y=³√x

y=1/x

y=1/x²

y=x²^/3

y=|x|

-f(x)

reflection over the x-axis

f(-x)

reflection over y-axis

f(ax)

multiply x-coordinates, horizontal dilation

af(x)

multiply y-coordinates, vertical dilation