1. QUADRATIC FUNCTION
PARABOLA

2. VERTEX OF A PARABOLA
VERTEX FORM
𝑦=𝑎( 𝑥−ℎ) 2 +k

3. AXIS OF SYMMETRY
𝑥= −𝑏 2𝑎
STANDARD FORM
𝑦=𝑎 𝑥 2 +𝑏𝑥+𝑐

4. MINIMUM VALUE
𝑎>0
MAXIMUM VALUE
𝑎<0

5. 𝑎 𝑥 2 +𝑏𝑥+𝑐=0 INTERCEPT FORM 𝑎(𝑥−𝑝)(𝑥−𝑞)=0 QUADRATIC EQUATION
IN ONE VARIABLE
𝑎 𝑥 2 +𝑏𝑥+𝑐=0

6. COMPLEX NUMBER
𝑎+𝑏𝑖
where a and b are real numbers
ROOT
OF AN EQUATION

7. IMAGINARY UNIT
𝑖= −1
COMPLETING THE SQUARE

8. IMAGINARY NUMBER
𝑎+𝑏𝑖
where b ≠ 0
ZERO
OF A FUNCTION

9. 𝑎+𝑏𝑖 𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎 IMAGINARY NUMBER QUADRATIC FORMULA PURE
where a = 0 and b ≠ 0
QUADRATIC FORMULA
𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎

10. 𝑎 𝑥 2 +𝑏𝑥+𝑐>0 𝑦≤𝑎 𝑥 2 +𝑏𝑥+𝑐 QUADRATIC INEQUALITY
IN ONE VARIABLE
𝑎 𝑥 2 +𝑏𝑥+𝑐>0
QUADRATIC INEQUALITY
IN TWO VARIABLES
𝑦≤𝑎 𝑥 2 +𝑏𝑥+𝑐

11. SYSTEM OF NONLINEAR EQUATIONS
DISCRIMINANT
𝑏 2 −4𝑎𝑐
SYSTEM OF NONLINEAR EQUATIONS
𝑦=𝑎 𝑥 2 +𝑏𝑥+𝑐
𝑦=𝑚𝑥+𝑏