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Phase Shifts definitions

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  • Phase Shift
    Horizontal movement of a trigonometric graph caused by adding or subtracting a constant inside the function's argument.
  • Horizontal Shift
    Change in the graph's position left or right, determined by the sign and value of a constant within the function.
  • Cosine Function
    Wave-like graph starting at a maximum value, often used to illustrate phase shifts and transformations.
  • Sine Function
    Periodic graph beginning at zero, whose appearance can be altered by phase shifts to resemble other trigonometric waves.
  • Argument
    Expression inside the parentheses of a trigonometric function, where constants affect the graph's horizontal position.
  • Period
    Length required for a trigonometric function to complete one full cycle, influenced by coefficients in the function.
  • Coefficient
    Number multiplying the variable inside the function, affecting the period and calculation of phase shift.
  • Constant
    Fixed value added or subtracted within the function's argument, responsible for shifting the graph horizontally.
  • Wave Pattern
    Shape formed by connecting points on a trigonometric graph, altered by phase shifts and other transformations.
  • h Value
    Constant representing the phase shift amount, used in the formula to determine the graph's horizontal displacement.
  • b Value
    Coefficient of the variable inside the function, used to calculate the magnitude of the phase shift.
  • h/b Formula
    Expression used to determine the size and direction of a phase shift, dividing the shift constant by the variable's coefficient.
  • Rightward Shift
    Movement of the graph to the right, resulting from subtracting a positive constant inside the function's argument.
  • Leftward Shift
    Movement of the graph to the left, caused by adding a constant inside the function's argument.
  • Transformation
    Modification of a trigonometric graph's appearance, including shifts, stretches, and changes in starting points.