1. QUADRATIC FUNCTION- Day 1
Name: _______________________ PART I – LINEAR TRANSFORMATIONS
QUADRATIC FUNCTION- Day 1
General Form of the Equation: ______________________
Linear Transformations:
Slide “B” to the right. Slide “B” to the left.
How does changing the value of “B” affect the graph? ____________ ________________________________________________________________________________________________________
(B is a positive value)
(B is a negative value)
Parent Graph
f(x) = x2
A = 1; B = 0; C = 0
Slide “C” to the right. Slide “C” to the left.
How does changing the value of “C” affect the graph? ____________ ________________________________________________________________________________________________________
(C is a positive value)
(C is a negative value)
Complete Practice Problem #1A before moving on to the next Parent Graph.
CUBIC FUNCTION – Day 1
General Form of the Equation: ______________________
Linear Transformations:
Slide “B” to the right. Slide “B” to the left.
How does changing the value of “B” affect the graph? ____________ ________________________________________________________________________________________________________
Parent Graph
f(x) = x3
A = 1; B = 0; C = 0
(B is a positive value)
(B is a negative value)
Slide “C” to the right. Slide “C” to the left.
How does changing the value of “C” affect the graph? ____________ ________________________________________________________________________________________________________
(C is a positive value)
(C is a negative value)
Complete Practice Problem #2A before moving on to the next Parent Graph.

2. SQUARE ROOT FUNCTION – Day 1
PART I – LINEAR TRANSFORMATIONS
SQUARE ROOT FUNCTION – Day 1
General Form of the Equation: ______________________
Linear Transformations:
Slide “B” to the right. Slide “B” to the left.
How does changing the value of “B” affect the graph? ____________ ________________________________________________________________________________________________________
Parent Graph
A = 1; B = 0; C = 0
(B is a positive value)
(B is a negative value)
Slide “C” to the right. Slide “C” to the left.
How does changing the value of “C” affect the graph? ____________ ________________________________________________________________________________________________________
(C is a positive value)
(C is a negative value)
Complete Practice Problem #3A before moving on to the next Parent Graph.
CUBE ROOT FUNCTION – Day 2
General Form of the Equation: ______________________
Linear Transformations:
Slide “B” to the right. Slide “B” to the left.
How does changing the value of “B” affect the graph? ____________ ________________________________________________________________________________________________________
Parent Graph
A = 1; B = 0; C = 0
(B is a positive value)
(B is a negative value)
B is a negative value
Slide “C” to the right. Slide “C” to the left.
How does changing the value of “C” affect the graph? ____________ ________________________________________________________________________________________________________
(C is a positive value)
(C is a negative value)
Complete Practice Problem #4A before moving on to the next Parent Graph.

3. ABSOLUTE VALUE FUNCTION – Day 2
PART I – LINEAR TRANSFORMATIONS
ABSOLUTE VALUE FUNCTION – Day 2
General Form of the Equation: ______________________
Linear Transformations:
Slide “B” to the right. Slide “B” to the left.
How does changing the value of “B” affect the graph? ____________ ________________________________________________________________________________________________________
Parent Graph
f(x) = |x|
A = 1; B = 0; C = 0
(B is a positive value)
(B is a negative value)
Slide “C” to the right. Slide “C” to the left.
How does changing the value of “C” affect the graph? ____________ ________________________________________________________________________________________________________
(C is a positive value)
(C is a negative value)
Complete Practice Problem #5A before moving on to the next Parent Graph.
RECIPROCAL FUNCTION – Day 2
General Form of the Equation: ______________________
Linear Transformations:
Slide “B” to the right. Slide “B” to the left.
How does changing the value of “B” affect the graph? ____________ ________________________________________________________________________________________________________
Parent Graph
A = 1; B = 0; C = 0
(B is a positive value)
(B is a negative value)
Slide “C” to the right. Slide “C” to the left.
How does changing the value of “C” affect the graph? ____________ ________________________________________________________________________________________________________
(C is a positive value)
(C is a negative value)
Complete Practice Problem #6A before moving on to the next Parent Graph.

4. PART II – GEOMETRIC TRANSFORMATIONS – Day 3
QUADRATIC FUNCTION
Complete Practice Problems #1B & #1C before moving on to the next Parent Graph.
Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right.
What happens when “|A|” is between 0 and 1? ________________________ ________________________________________________
What happens when “A” is greater than 1? __________________________ ____________________________________________________
What happens when “A” is negative? __________________________ __________________________
A is a negative value
0 < |A| < 1
A > 1
CUBIC FUNCTION
Complete Practice Problems #2B & #2C before moving on to the next Parent Graph.
Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right.
What happens when “|A|” is between 0 and 1? ________________________ ________________________________________________
What happens when “A” is greater than 1? __________________________ ____________________________________________________
What happens when “A” is negative? __________________________ __________________________
A is a negative value
0 < |A| < 1
A > 1
SQUARE ROOT FUNCTION
Complete Practice Problems #3B & #3C before moving on to the next Parent Graph.
Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right.
What happens when “|A|” is between 0 and 1? ________________________ ________________________________________________
What happens when “A” is greater than 1? __________________________ ____________________________________________________
What happens when “A” is negative? __________________________ __________________________
A is a negative value
0 < |A| < 1
A > 1

5. PART II – GEOMETRIC TRANSFORMATIONS – Day 3
CUBE ROOT FUNCTION
Complete Practice Problems #4B & #4C before moving on to the next Parent Graph.
Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right.
What happens when “|A|” is between 0 and 1? ________________________ ________________________________________________
What happens when “A” is greater than 1? __________________________ ____________________________________________________
What happens when “A” is negative? __________________________ __________________________
A is a negative value
0 < |A| < 1
A > 1
ABSOLUTE VALUE FUNCTION
Complete Practice Problems #5B & #5C before moving on to the next Parent Graph.
Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right.
What happens when “|A|” is between 0 and 1? ________________________ ________________________________________________
What happens when “A” is greater than 1? __________________________ ____________________________________________________
What happens when “A” is negative? __________________________ __________________________
A is a negative value
0 < |A| < 1
A > 1
RECIPROCAL FUNCTION
Complete Practice Problems #6B & #6C before moving on to the next Parent Graph.
Geometric Transformations: (Put “B” and “C” back to 0) Slide “A” to the left and right.
What happens when “|A|” is between 0 and 1? ________________________ ________________________________________________
What happens when “A” is greater than 1? __________________________ ____________________________________________________
What happens when “A” is negative? __________________________ __________________________
A is a negative value
0 < |A| < 1
A > 1

6. TRANSFORMATIONS PRACTICE
For each example listed, first sketch the parent graph in colored pencil. Next sketch your prediction of the transformed graph on the same set of coordinate axes in regular pencil. Change the sliders in sketchpad to verify your prediction. Change your graph if necessary.
QUADRATIC PRACTICE
1A) B) C)
f(x) = (x + 3)2 - 2
f(x) = ½(x - 2)2
f(x) = -3x2 + 1
CUBIC PRACTICE
2A) B) C)
f(x) = (x - 2)3 + 1
f(x) = -(x + 3)3
f(x) = 2x3 - 3
SQUARE ROOT PRACTICE
3A) B) C)
f(x) = (x - 1)½ - 1

7. TRANSFORMATIONS PRACTICE
For each example listed, first sketch the parent graph in colored pencil. Next sketch your prediction of the transformed graph on the same set of coordinate axes in regular pencil. Change the sliders in sketchpad to verify your prediction. Change your graph if necessary.
CUBE ROOT PRACTICE
4A) B) C)
ABSOLUTE VALUE PRACTICE
5A) B) C)
RECIPROCAL PRACTICE
6A) B) C)