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Quadratics

TermDefinition
quadratic function a second degree polynomial function where a, b, and c are real numbers
axis of symmetry line through the graph of a parabola that divides the graph into two congruent halves
vertex the axis of symmetry will intersect a parabola at this point
maximum/minimum value the y-coordinate of the vertex of a quadratic function
quadratic equations quadratic functions that are set equal to a value
roots solutions of a quadratic equation
FOIL method stands for: first, inner, outer, last. Uses the distributive property to multiply binomials.
pure imaginary numbers square roots of negative real numbers
completing the square manipulating the equation until one side is a perfect square, then solving using the square root property
quadratic formula a formula that can solve any quadratic equation. this formula can be derived by solving the standard form of a quadratic equation.
discriminant the part of the quadratic formula that is under the square root sign
quadratic term the "ax^2" in a quadratic funtion
linear term the "bx" in a quadratic function
constant term the "c" in a quadratic function
parabola the graph of a quadratic function
zeros the x-intercepts of a parabola.
factored form 0= a(x - p)(x - q)
imaginary unit i defined to be "i^2 = -1".
complex number when a real number and an imaginary number cannot be combined so the equation is left alone. example: 2+4i
complex conjugates two complex numbers of the form of a + bi and a - bi. the product of this is always a real number
Created by: sethweir
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