QUADRATICS: EQUATIONS, INEQUALITIES AND FUNCTIONS
CHAPTER 1: QUADRATIC EQUATIONS
1. SOLVING QUADRATIC EQUATIONS
A. SOLVING EQUATIONS OF THE FORM ax2 = 0
B. SOLVING EQUATIONS OF THE FORM ax2 + bx = 0
C. SOLVING EQUATIONS OF THE FORM ax2 + c = 0
D. SOLVING EQUATIONS OF THE FORM ax2 + bx + c = 0
1. Factoring
2. Completing the Square
3. The Quadratic Formula
4. Discriminant of a Quadratic Equation
-all methods mixed Vid 1 ,
2. VIETA’S THEOREM Vid 1 ,
3. DERIVING QUADRATIC EQUATIONS
4. EQUATIONS REDUCIBLE TO QUADRATIC FORM
A. WRITING EQUATIONS IN QUADRATIC FORM (using substitution with t) Vid 1 ,
B. EQUATIONS INVOLVING PRODUCTS AND QUOTIENTS Vid 1 ,
C. EQUATIONS INVOLVING RADICALS
D. EQUATIONS INVOLVING AN ABSOLUTE VALUE
5. SYSTEMS OF QUADRATIC EQUATIONS
CHAPTER 2: QUADRATIC INEQUALITIES
1. LINEAR INEQUALITIES
2. QUADRATIC INEQUALITIES Vid 1 ,
-Inequalities reducible to quadratics Vid 1 ,
3. SYSTEMS OF INEQUALITIES
CHAPTER 3: QUADRATIC FUNCTIONS
1. GRAPHS OF QUADRATIC FUNCTIONS
A. GRAPHING y = ax2
B. GRAPHING y = ax2 + bx + c
1. Vertex Point
2. Intercepts
3. Sketching a Graph Vid 1 ,
4. Shifting Graphs
5. Parabolas with Absolute Value (Optional)
C. EQUATION OF A PARABOLA
2. GRAPHICAL SOLUTION OF INEQUALITIES
A. RELATIVE POSITION OF A PARABOLA AND A LINE IN A PLANE
B. RELATIVE POSITION OF TWO PARABOLAS IN A PLANE
C. GRAPHICAL SOLUTION OF INEQUALITIES IN TWO VARIABLES
1. Linear Inequalities
2. Quadratic Inequalities
D. GRAPHICAL SOLUTION OF SYSTEMS OF INEQUALITIES