Phase Shifts definitions Flashcards
Phase Shifts definitions
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Phase Shift A horizontal translation of a sine or cosine graph, moving every point left or right by a specific amount. Horizontal Shift A transformation that moves a graph along the x-axis, altering the starting position of its wave pattern. Sine Function A periodic trigonometric function with a wave-like graph, starting at zero and oscillating between -1 and 1. Cosine Function A periodic trigonometric function with a wave-like graph, starting at one and oscillating between -1 and 1. Period The horizontal length required for a sine or cosine graph to complete one full cycle, calculated as 2π divided by b. Amplitude The maximum vertical distance from the midline to the peak or trough of a sine or cosine graph. h Value The constant added or subtracted inside the function, determining the amount and direction of the phase shift. b Value The coefficient of x inside the function, affecting both the period and the calculation of the phase shift. Wave Pattern The repeating up-and-down shape characteristic of sine and cosine graphs. Transformation Any change to a graph's position, shape, or size, such as shifting, stretching, or compressing. Trigonometric Function A function involving angles, commonly sine or cosine, that produces periodic wave-like graphs. π (Pi) A mathematical constant approximately equal to 3.1416, often used to describe intervals and shifts in trigonometric graphs. Full Period The interval over which a trigonometric graph completes one entire cycle before repeating. Midline The horizontal axis that runs through the center of a sine or cosine graph, equidistant from its peaks and troughs. Out of Phase A condition where two wave graphs have identical shapes but are horizontally shifted relative to each other.