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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

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Parabola

the graph of a quadratic function

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Axis of Symmetry

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

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Vertex of a Parabola

the point at which the parabola intersects the axis of symmetry

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Vertex Formation of a Quadratic Function

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

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Factoring

rewriting an expression as the product of its factors

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GCF (greatest common factor) of an expression

the common factor with the greatest coefficient and the greatest exponent

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perfect square trinomial

the product you obtain when you square a binomial

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Difference of two squares

a^2-b^2

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standard form of a quadratic equation

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

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imaginary number

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

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i

defined as the number whose square is -1

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complex numbers

real and imaginary numbers

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complex number plane

represents a complex number geometrically

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absolute value of a complex number

its distance from the origin on the complex number plane.

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completing the squares

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

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