Notes on Unit 2 Day 2 Name:

2.4 Transformations Date:

Now as a class, let’s go over the correct vocabulary used when describing the transformations to parent graphs that you investigated in the previous 7 examples.

function:parent graph:

transformation: / function:

parent graph:

transformation:

function:

parent graph:

transformation: / function:

parent graph:

transformation:

function:

parent graph:

transformation: / function:

parent graph:

transformation:

function:

parent graph:

transformation:

For #’s 1-6, with your group, graph the following functions using what you just investigated and learned about transformations to parent graphs. In addition to graphing the given function, state the transformation.

1) 2)

transformation(s): transformation(s):

3) f(x) = |x| + 2 4)

transformation(s): transformation(s):

5) f(x) = 6) f(x) = -2

transformation(s): transformation(s):

For #’s 7-9 use the graph of f provided to the right to graph the indicated graphs.

In addition to graphing the given function, state the transformation.

7) y = f(-x) 8) y = f(x) 9) y = f(x) – 1

transformation(s): transformation(s): transformation(s)

For #’s 10-15, graph based upon your knowledge of transformations.

10) 11) f(x) = |x - 1| - 3

transformation(s): transformation(s):

12) 13)

transformation(s): transformation(s):

14) f(x) = -|x - 2| + 1 15)

transformation(s): transformation(s):

For #’s 16-18 use the graph of f provided below to graph the indicated graphs.

In addition to graphing the given function, state the transformation.

16) y = 2f(x + 1) 17) y = f(x – 1) 18) y = -f(x – 2)

transformation(s): transformation(s): transformation(s):

**What We Figured Out** Name:

You are given the model where a function has been transformed. Using this information, as well as your investigation, identify specifically how a, h & k affect the graphs of any parent function. Write these affects in the space given below each transformation.

Conclusions:

a) y = f(x) + k b) y = f(x) - k

c) y = f(x – h) d) y = f(x + h)

e) y = -f(x) f) y = f(-x)

g) y = a*f(x) where a > 1 h) y = a*f(x) where 0 < a < 1

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Please answer the Ticket Out The Door questions below to provide me with helpful feedback.

1) What are you still wondering or needing clarifying about? ______

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2) On a scale of 1 – 5 (5 being I could successfully teach someone else how to graph a function based on

knowledge of transformations to parent graphs and 1 being I still have no idea how to graph functions based

on knowledge of transformations) please rank yourself based upon how you are feeling after today’s lesson.

1 2 3 4 5 (please circle one)

3) What is one thing that you liked about today’s lesson? ______

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4) What is one thing you would change about today’s lesson? ______

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