Transformations of Functions

a

a

vertical dialation

-a

vertical dilation and reflection over x-axis

x-h

right for h; horizontal shift

x+h

left for h; horizontal shift

1/b

horizontal dilation; MUST BE RATIO

-1/b

horizontal dilation; reflect over y-axis

k

vertical shift

horizontal dilation

graphing transformation equation

Label the transformation

Vertical Dilation of 2

horizontal shift of right 3

Vertical shift up 1

Label the transformations

vertical shift of down 6

horizontal dilation of 1/3

horizontal shift of left 1

reflection over x-axis

base transformation function equation