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Quadratics

Algebra 2, Chapter 4

TermDefinition
parabola the graph of a quadratic function
axis of symmetry a line through the graph of a parabola that divides the graph into two congruent halves
vertex the point at which the axis of symmetry intersects intersects the parabola
quadratic function a function that contains a quadratic term, a linear term, and a constant term
maximum value the greatest possible value a function can reach
minimum value the lowest possible value a function can reach
quadratic equations quadratic functions that are set equal to zero
roots solutions of a quadratic equation
FOIL method method that uses the Distributive Property to help multiply binomials
pure imaginary numbers square roots of negative real numbers
complex number any number that can be written in the form a+bi, where a and b are real imaginary numbers and i is the imaginary unit
completing the square a method that can be used to solve all quadratic equations by using the Square Root Property and manipulating the equation until one side is a perfect square
discriminant the expression b^2-4ac, which is used to determine the number and type of roots of a quadratic equation
standard form ax^2+bx+c=0, where a does not equal zero and a, b, and c are integers
zeros these are used to find the roots of a quadratic equation and are the x-intercepts of the graph of a quadratic equation
factored form 0=a(x-p)(x-q), where p and q represent the x-intercepts of a graph of the equation
Zero Product Property for any real numbers a and b, if ab=0, then either a=0, b=0, or both a and b equal zero
imaginary unit i i^2=-1; the number i is the principal square root of -1
Square Root Property a method that is similar to a difference of squares and is used to solve quadratic equations
factoring finding the terms that are multiplied together to get an expression
Created by: ererules
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