QUADRATIC FUNCTION PARABOLA

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

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

MINIMUM VALUE 𝑎>0 MAXIMUM VALUE 𝑎<0

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

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

IMAGINARY UNIT 𝑖= −1 COMPLETING THE SQUARE

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

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

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

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