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Quadratic Function

a function that can be written in the form f(x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero

Parabola

the graph of a quadratic function

Axis of Symmetry

a line that divides a a parabola into two parts that are mirror images

Vertex of a Parabola

the point at which the parabola intersects the axis of symmetry

Vertex Formation of a Quadratic Function

y=a(x-h)^2+k; the coordinates of the vertex of the parabola are (h,k)

Factoring

rewriting an expression as the product of its factors

GCF (greatest common factor) of an expression

the common factor with the greatest coefficient and the greatest exponent

perfect square trinomial

the product you obtain when you square a binomial

Difference of two squares

a^2-b^2

standard form of a quadratic equation

ax^2 + bx + c = 0; where a is not 0

imaginary number

any number of the form a+bi, where a and b are real numbers, and b is not 0

i

defined as the number whose square is -1

complex numbers

real and imaginary numbers

complex number plane

represents a complex number geometrically

absolute value of a complex number

its distance from the origin on the complex number plane.

completing the squares

the process of finding the last term of a perfect square trinomial by rewriting the constant term

discriminant

b²-4ac