Standard Form of a Sine Function
Formula: y = A sin(ω x + ) + k, where A is the amplitude, ω affects the period T = (2π)/(|ω|), is the initial phase, and k is the vertical shift. The graph is…
Syllabus path: Functions › Concepts and Properties of Functions › Graph of a Function
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: y = A sin(ω x + ) + k, where A is the amplitude, ω affects the period T = (2π)/(|ω|), is the initial phase, and k is the vertical shift. The graph is a periodic wave.
Related tutorial and examples
Graph of a Function
Graph of a Function 1. Concept The Graph of a function is the visual representation of the relationship y = f(x) on a coordinate plane. Visualizing the graph helps identify key properties: Domain/Range: The extent along the x and y axes. Monotonicity: Where the graph rises or fal…
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