Trigonometric Graph Transformation 1 (Radians)
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This example demonstrates how sine and cosine function graphs undergo transformations such as translation and scaling when parameters are adjusted, all in radian mode. The core mathematical concepts include periodicity, amplitude, phase shift, and vertical shift of trigonometric functions, as well as the distinction between radians and degrees. Construction highlights: using GeoGebra's If command to build conditional expressions, combined with sliders (e.g., a, b, c, d) to dynamically control function coefficients, and a button (button1) to trigger transformation animations; text objects (text1 to text4) display parameter values in real time, helping users connect the algebraic form to the graphical representation. Suitable for high school or pre-university students learning trigonometric graph transformations, and useful for classroom demonstrations or self-exploration to intuitively grasp the general form y = A sin(ωx + φ) + k.
GeoGebra Commands & Parameters
If(b ≠ 1, "" + b, "") → oIf(a ≠ 1, "" + a, "") → pIf(a ≠ 0, "" + a, "") → m