chapter 4 Flashcards
A process used to make a quadratic expression into a perfect square trinomial
Completing the Square
2 complex numbers of the form a+bi and a-bi
Complex Conjugates
Any number that can be written in the form a+bi where a and b are real numbers and i is the imaginary unit
Complex number
in f(x)=ax^2+bx+c, c is the ————
Constant term
In the quadratic formula, the expression b^2-4ac
Discriminant
i, or the principal square root of -1
Imaginary Unit
In the equation f(x)= ax^2+bx+c, bx is the ———–
Linear term
the y-coordinate of the vertex of the quadratic function f(x)=ax^2+bx+c where a<0
Maximum value
The y-coordinate of the vertex of the quadratic function f(x)=ax^2+bx+c where a >0
minimum value
The square roots of negative real numbers. For any positive real number b, √-b^2 = √b^2*√-1 , or bi
pure imaginary number
A quadratic function set equal to a value, in the form ax^2+bx+c where a≠0
quadratic equation
the solutions of a quadratic equation of the form ax^2+bx+c=0 where a≠0, are given by the —————-
quadratic formula
An inequality of the form y>ax^2+bx+c, y≥ax^2+bx+c, y<ax^2+bx+c, y≤ ax^2+bx+c
quadratic inequality
In the equation, f(x)=ax^2+bx+c, ax^2 is the ———
quadratic term
The solutions of a quadratic equation
root