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Graphing Complex Numbers definitions

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  • Complex Number
    An expression combining a real value and an imaginary value, written in the form x + yi.
  • Real Part
    The horizontal component in a complex expression, indicating movement along the real axis.
  • Imaginary Part
    The vertical component in a complex expression, indicating movement along the imaginary axis.
  • Complex Plane
    A graph with two perpendicular axes, one for real values and one for imaginary values.
  • Real Axis
    The horizontal line in the complex plane, representing real values.
  • Imaginary Axis
    The vertical line in the complex plane, representing imaginary values.
  • Origin
    The intersection point of the real and imaginary axes, corresponding to the value 0 + 0i.
  • Point
    A location on the complex plane determined by a complex number's real and imaginary components.
  • Horizontal Movement
    Shifting right or left along the real axis based on the real part of a complex number.
  • Vertical Movement
    Shifting up or down along the imaginary axis based on the imaginary part of a complex number.
  • Graph
    A visual representation of values, used to plot complex numbers on a plane.
  • Intersection
    The spot where horizontal and vertical movements meet, marking the plotted complex number.
  • Standard x-y Graph
    A familiar coordinate system, similar in structure to the complex plane but for real values only.
  • Notation
    The written form x + yi, used to express complex numbers.
  • Coordinate
    A pair of values indicating position on the complex plane, derived from real and imaginary parts.