transformations of functions you need your notebook and pencil

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Transformations of Functions You need your notebook and pencil

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

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Page 1: Transformations of Functions You need your notebook and pencil

Transformations of Functions

You need your notebook and pencil

Page 2: 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

Page 3: Transformations of Functions You need your notebook and pencil

This Relationship…

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

Page 4: Transformations of Functions You need your notebook and pencil

Parent Graphs

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

Page 5: Transformations of Functions You need your notebook and pencil

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)

Page 6: Transformations of Functions You need your notebook and pencil

Example•

Page 7: Transformations of Functions You need your notebook and pencil

Do Now•

Page 8: Transformations of Functions You need your notebook and pencil

Turn and Talk

Quickly compare your answers with the person next

to you!

Page 9: Transformations of Functions You need your notebook and pencil

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)