Function Notebook
PAP Algebra II
Objective: Summarize all functions studied through graphing the parent
function and various transformations on that function. Solving various
equations.
Your notebook must be in the brads of a folder (any color.) On the outside of
the folder, write the title at the top center and your name at the bottom
right in bold, easy to read writing.
The notebook should include:
1. A cover sheet with the following information centered on the page:
Title
Your name
Subject
Period
Teacher’s name
Date
Your cover sheet should be neatly written or typed. It may be decorated as
well.
2. Blank Rubric in the left pocket of the folder
3. Completed function Matrix
4.For each function listed on the matrix, the following information.
A. First page: Parent function.
1. Title of parent function at the top of the page
2. General form of the equation immediately below title.
3. Accurately graph the parent function using at least 3 reference
points. Label your coordinates of your reference points. Your graph
should fill as much of the grid as possible.
4. Below the graph:
a. the specific equation graphed
b. domain (in interval notation)
c. range (in interval notation)
d. x intercept
e. y intercept
f. any other characteristics
B. Second page: Transformations of parent functions
1. On each coordinate grid, accurately graph the parent function in
black ink.
2. Using another color of ink or colored pencil, graph the stated
transformation (one transformation per coordinate plane.)
a. vertical shift by 2
b. horizontal shift by 2
c. vertical stretch by2
d. vertical compression by ½ .
e. inverse
f. reflection over x axis
3. Write the equation that shows the transformation above the graph.
You will be graded on accuracy of each graph and accuracy of the information
provided along with neatness and following instructions.
Rough Draft : Due Tuesday May 27th
Final Notebook :Due Friday May 30th
NAME_______________________________________
PER ___
Function Matrix
Functions:
Domain
Range
Intercepts
x
Constant
Identity
Absolute
Value
Quadratic
Square
Root
Cubic
Cube root
Rational
Exponential
Logarithmic
y
Sketch of graph
One-toOne?
Name of Function:
Parent Function Equation: ____________________________
Asymptotes_________________________________________
x intercept:___________
y intercept:_____________
Domain: ________________
Range: _________________
End Behavior_____________________________________________
Is the function one-to-one? ____________________________
a. Vertical shift
b. Horizontal shift
Equation:________________
Equation:________________
f(x)
f(x)
x
x
c. Vertical stretch
d. Vertical compression
Equation:________________
Equation:________________
f(x)
x
x
e. Inverse
f. Reflection over x axis
Equation:________________
Equation:________________
f(x)
f(x)
x
x
Function Notebook Rubric
Format:
Folder (in brads)
(3 points)
Title/ name
(3 points)
Completed Matrix
included
(10 points)
Functions:
Parent function
(2 points)
Constant
Subtotal-format ________
Info on parent
(2 points)
Transformations
Graph & Equation
( 1 point each)
None
Linear
Absolute Value
Quadratic
Square Root
Cubic
Cube root
Rational
Exponential
Logarithmic
Vertical and
Horizontal Shifts
Only
Vertical, Horizontal
Shifts and Inverse
Only
Vertical, Horizontal
Shifts and Inverse
Only
Sub-total
Functions
Other deductions:
-5 for parent graph not included on each transformation
-3 for not following directions with regards to black ink on parent functions
FINAL GRADE________________
Total points