1. Quadratic Relations and Functions
Chapter 13
Quadratic Relations and Functions
Corresponding Notes
Date Assigned
Assignment #
Day 1 & 2
Solving Quadratic Equations
Friday
3/9
Page 507: 3 – 12 (all) 15 – 42 every 3rd ( 1st column) 1
Day 3 Notes
Word Problems Consecutive ntegers
Monday
3/12
Worksheet: HW Day 3 Consecutive Integer 2
Day 4 Notes
Geometric Word Problems
Tuesday
3/13
Worksheet: HW Day 4 Geometric word problems 3
Day 5 Notes
More Word Problems
Wednesday 3/14
Worksheet: HW Day 5 More Geometric word problem 4
Day 6 Notes
Graphing Quadratics
Thursday
3/15
Worksheet: Parabolas 5

2. Warm-up:
Simplify:

3. highest exponent term to lowest
an equation with a degree of 2, it has 2 answers, called roots.
highest exponent term to lowest

4. Step 3: After the problem has been factored we will complete a step
Step 3: After the problem has been factored we will complete a step called the “t” chart. Create a T separating the two ( ).
Step 4: Once ( ) are separated set each ( ) = to 0 and solve for the variable.
Step 5: Check each of the roots in the ORIGINAL quadratic equation

5. (r – 7 )(r – 5 ) = 0
(y + 8 )(y + 3 ) = 0
(r – 7 ) = (r – 5 ) = 0
(y + 8 ) = (y + 3 ) = 0
y = -8
y = -3
r = 7
r = 5
Check: #1
(-8)2 + 11(-8) + 24 =0
64 – = 0
= 0
Check: #1
72 – 12(7) + 35 =0
49 – = 0
= 0
Check: #2
52 – 12(5) + 35 =0
25 – = 0
= 0
Check: #2
(-3)2 + 11(-3) + 24 =0
9 – = 0
= 0

6. y2 – 3y – 28 = 0 3. Find the roots: 4. Solve for y:
(x – 6 )(x + 1) = 0
(y – 7 )(y + 4) = 0
(x – 6 ) = (x + 1 ) = 0
x = 6
x = -1
(y – 7 ) = (y + 4 ) = 0
y = 7
y = -4

7. x2 – x – 30 = 0 3x2 – 10x + 3 = 0 5. Find the roots:

8. ex. SOLVING QUADRATIC EQUATIONS (DAY 2) Put in Standard Form Factor
RECALL SOLVING STEPS:
Step 1:
Step 2:
Step 3:
Step 4:
Put in Standard Form
Factor
Set equal to 0 and solve
Check
INCOMPLETE (SPECIAL) QUADRATICS:
ex.
Missing one of the three Standard Form terms
and ex.

9. Solve the following equations. Check all the roots:1. 2. 3.
5X = 0
X2 + 4x = 0
D2PS
GCF
(z – 2 )(z + 2) = 0
GCF
5(x2 – 9 ) = 0
x(x + 4) = 0
(x – 2) = (x + 2 ) = 0
x = (x + 4 ) = 0
D2PS
x = 2
x = -2
x = 0
x = -4
5(x - 3)( x + 3) = 0
(x – 3) = 0 (x + 3 ) = 0
x = 3
x = -3

10. 4. Solve for x: 5. Solve for x:
CHALLENGE PROBLEMS: Solve and Check the roots
4. Solve for x:
5. Solve for x:

11. 6. Solve for x: