CHAPTER 8 – QUADRATIC FUNCTIONS
Day 1 - Review of Generic Rectangles, Diamond Problems, & Describing Graphs
HW 8.1.1: 8-6 through 8-12
Day 2 – Factoring Quadratic Functions
HW 8.1.2: 8-17 through 8-23
Day 3 – Factoring Quadratic Functions with Special Cases
HW 8.1.3: 8-29 through 8-33
Day 4 – Factoring Completely: pulling out common factors first
HW 8.1.4: 8-39 through 8-44
Day 5 – Factoring Perfect Square Trinomials and Difference of Squares
HW 8.1.5: 8-49 through 8-53
Day 6 – Quadratic Functions represented as tables, graphs, equations, & situations
HW 8.2.1: 8-58 through 8-63 (omit 8-61)
HW Quiz Days 1-5
Day 7 – Solve using Zero Product Property
HW 8.2.2: 8-69 through 8-75
Day 8 – Changing from vertex to standard form and using calculator to find roots & vertex
HW 8.2.3: 8-83 through 8-88
Day 9 – Writing Quadratic equations from tables graphs, and situations
HW 8.2.4: 8-92 through 8-97
Day 10 – Completing the square
HW 8.2.5: 8-106 through 8-110
Day 11 – Closure/ Review
HW: Study for test
HW Quiz Days 6-10
Day 12 – Chapter Test
Vocabulary
1. Root-
2. Zeros-
3. Vertex-
4. Factored Form-
5. Factor-
6. Quadratic Equation-
7. Graphing Form-
8. Vertex Form-
9. Zero Product Property-
10. Completing the square-
11. Parabola-
12. Standard Form-
13. Difference of Squares-
14. Perfect Square Trinomial-
CH 8 Day 1
NAME: _____________________________
I can: ________________________________________________________________
Review Describing Graphs
For each function below: make a table, draw a graph, describe the graph using the graph
investigation questions. (Hint: use your calculator for easy table creation and double checking your graph)
a) Function: y = x2
x
y = x2
y
1. What does the graph look like?(shape)
2. What are the x- intercepts?
3. What are the y-intercepts?
4. Vertex?
5. Maximum or Minimum?
6. Does the graph have any symmetry? If so, where?
7. Intervals of increase?
8. Intervals of decrease?
9. Describe any transformation this graph has compared to its parent function.
b) Function: y = -x2
x
y = -x2
y
1. What does the graph look like?(shape)
2. What are the x- intercepts?
3. What are the y-intercepts?
4. Vertex?
5. Maximum or Minimum?
6. Does the graph have any symmetry? If so, where?
7. Intervals of increase?
8. Intervals of decrease?
9. Describe any transformation this graph has compared to its parent function.
c) Function: y = x2-4x+5
x
y = x2-4x+5
y
1. What does the graph look like?(shape)
2. What are the x- intercepts?
3. What are the y-intercepts?
4. Vertex?
5. Maximum or Minimum?
6. Does the graph have any symmetry? If so, where?
7. Intervals of increase?
8. Intervals of decrease?
9. Describe any transformation this graph has compared to its parent function.
d) Function: y = -x2+2x-1
x
y = -x2+2x-1
y
1. What does the graph look like?(shape)
2. What are the x- intercepts?
3. What are the y-intercepts?
4. Vertex?
5. Maximum or Minimum?
6. Does the graph have any symmetry? If so, where?
7. Intervals of increase?
8. Intervals of decrease?
9. Describe any transformation this graph has compared to its parent function.
e) Function: y = -x2+3x+4
x
y = -x2+3x+4
y
1. What does the graph look like?(shape)
2. What are the x- intercepts?
3. What are the y-intercepts?
4. Vertex?
5. Maximum or Minimum?
6. Does the graph have any symmetry? If so, where?
7. Intervals of increase?
8. Intervals of decrease?
9. Describe any transformation this graph has compared to its parent function.
Generic Rectangle Review
Use Generic Rectangles to multiply the following;
1. (4x – 7) (2x – 9)
2. (4x + 3) (7x – 5)
3. (–3x + 5)2
4. (x + 2)(4x – 3)
5. (4x – 7)2
6. (3x – 5) (4x + 7)
The Generic Rectangle Challenge - Find the missing terms and write area in factored form = area as a whole
1.
2.
-3
____
-2
-18x
2x2
5x
x
_____
_____
+1
____________________ = ____________________
______
+5
____________________ = ____________________
Diamond Problem Review
In Chapter 3 you learned how to multiply algebraic expressions using algebra tiles and generic rectangles. This
section will focus on reversing this process: How can you find factors when given the whole?
Since algebraic expressions come in several different forms, there are special words used to help describe
these expressions. For example, if the expression can be written in the ______________ ________ ax2 + bx + c
where “a”, “b”, and “c” are _______________ and if “a” is not _____, it is called a _______________
_______________.
Review the examples of quadratic expressions below.
Examples of quadratic expressions:


Which of the following are quadratic expressions? Why or Why Not?

𝑥+3

𝑥2

2𝑥 − 4

4𝑥 2 − 𝑥 − 2
The way an expression is written can also be named.
 When an expression is written in product form, it is said to be _____________.
 When factored, each of the expressions being multiplied is called a ______________.
 For example, the factored form of x2 − 15x + 26 is (x − 13)(x − 2), so x − 13 and x − 2 are each ________
of the original expression.
 The process of changing __________________ to __________________ is called ______________.
8-3. Find the factors for the following generic rectangles.
8-4. While working on problem 8-3, Casey noticed a pattern with the diagonals of each generic rectangle. Can
you figure out what the two diagonals have in common?