Algebra 2: Unit 2 (Translations, Stretches & Shrinks)

Translations: f(x + h)

Left horizontally “h units”

Translations: f(x - h)

Right horizontally “h” units

k is ____

OUTSIDE

Translations: f(x) + k

Vertical translation UP “k” units.

Translations: f(x) - k

Vertical Translation DOWN “k” units.

Stretches & Shrinks: A is __________

IN THE FRONT.

Stretches & Shrinks: |a|>1, then ________

We STRETCH VERTICALLY

Stretches & Shrinks: |a|<1, then _______

We SHRINK VERTICALLY (fraction)

In order to stretch or shrink, we factor both by

a

-f(x)

Reflection over the x-axis.

Absolute Value

DISTANCE away from 0.

Vertex

(0,0)

Axis of Symmetry

x=0

Absolute Value Function Equation

y=|x|

f(x)=a|x-h|+k

Slope of RIGHT side. (STRETCH OR SHRINK)

f(x)=a|x-h|+k

Vertex = (h,k)