HolcombMath

Friday, May 07, 2010

Algebra 2 (Calss 78)

Lesson Title
4.2.2 What is the significance of (h,k)?

Overview
In Lesson 4.2.1 students learned that their knowledge of transformations of parabolas helped them transform graphs of other parent functions. In this lesson students will consolidate their knowledge of each of the parent functions they know and will identify the importance of the point (h,k) for each parent function and its family.
Textbook Sections
4.2.2 (Txt. p.189) What is the significance of (h,k)?

Vocabulary
parabola
parent graph
parameter
family of functions
transform
shift
stretch
compress
vertical
horizontal

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Changes in various parameters have specific effects on graphs of parent functions in the coordinate plane.

Essential Question
What changes can we make to a parabola’s graph?
What changes can we make to the equation y=x^2?
How do changes in the equation relate to changes in the graph?

Key Knowledge
Functions, and their graphs, can be thought of as belonging to families.
Each family of functions has a “parent graph” which can be transformed into any of the other members of the family.
The point (h,k) is key to understanding how a given graph is related to its parent graph.

Key Skills
I can explain what is meant by the terms “family of functions”, and “parent graph”.
I can transform parent graphs to become any graph in the family by changing the equation.

Turn-In (#-1)
4-44, 4-45, 4-51, 4-52

Handouts
No Handouts Posted

Assignment
4-53 to 5-58
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.