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Quadratics

TermDefinition
Parabola The graph of a quadratic function
Quadratic Equations Quadratic functions that are set equal to a value
Roots The solutions of a quadratic equation
Zeros The x-intercepts of the graph of a function; the points for which f(x)=0
Imaginary Unit i, or the principle square root of -1
Complex Number A number that can be written in the form a + bi, where a and b are real numbers and i is the imaginary unit
Complex Conjugates Two complex numbers of the form a + bi and a - bi
Discriminant In the Quadratic Formula, the expression b^2 – 4ac
Quadratic Function A function described by the equation f(x)=ax^2 + bx + c, where a does not equal zero
Quadratic Term In the equation f(x)=ax^2 + bx + c, ax^2 is the quadratic term
Linear Term In the equation f(x)=ax^2 + bx + c, bx is the linear term
Constant Term In the equation f(x)=ax^2 + bx + c, c is the constant term
Axis of Symmetry A line about which figure is symmetric
Vertex The point at which the axis of symmetry intersects a parabola
Maximum Value The y-coordinate of the vertex of the quadratic function f(x)=ax^2 + bx + c, where a < 0
Minimum Value The y-coordinate of the vertex of the quadratic function f(x)=ax^2 + bx + c, where a > 0
Factored Form The form of a polynomial showing all of its factors. y = a(x - p)(x - q) is the factored form of a quadratic function
FOIL method The product of two binomials is the sum of the products of F for the first terms, O for the outer terms, I for the inner terms, and L for the last terms
Completing the Square A process used to make a quadratic expression into a perfect square trinomial
Quadratic Formula The solutions of a quadratic equation of the form ax^2 + bx + c, where a does not equal 0, are given by the Quadratic Formula, which is: -b +- √b^2-4(a)(c) -------------------------------- 2(a)
Created by: dhruvipatel