Transformations of Functions

You need your notebook and pencil

Translations

f(x) = (x – h) + k+ h moves graph left- h moves graph right + k moves graph up

- k moves graph down

This Relationship…

Holds true for the graphs of all other functions, such as absolute value and square root, as well.

Parent Graphs

These parent graphs are ANCHORED at the ORIGIN (0, 0).

These parent graphs are ANCHORED at the ORIGIN (0, 0).

Key Points:(-2, 4)(-1, 1)(0, 0)(1, 1)(2, 4)

Key Points:(0, 0)(1, 1)(4, 2)

Key Points:(-2, -2)(-1, -1)(0, 0)(1, 1)(2, 2)

Example•

Do Now•

Turn and Talk

Quickly compare your answers with the person next

to you!

Today’s ActivityContinue your work from yesterday…

If you finish, WORK ON YOUR HOMEWORK!

Tomorrow we will re-visit the idea of –f(x) and f(-x)