MathPlotAI Logo MathPlotAI

Sine Function Amplitude, Period and Translations

Sine Function Amplitude, Period and Translations
Loading the math board and drawing, please wait…
2016-11-10 01:15
FunctionTrigonometryCoordinate GeometryGraphing
This example demonstrates the amplitude, period, and translations of the sine function. It involves core math concepts like sine function, amplitude, period, translation, and coordinate geometry. Constructed using GeoGebra commands Point, Segment, Function, and objects such as d, c, b, a, f, A, B, c_1, C, D, d_1, text1, p, E, F, e, ab, text3, G, H, i, text4, text5, text6, text2, g, q, h, text7. Suitable for high school mathematics teaching to understand function graph transformation rules.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Segment(A, B) → c_1
  3. Point(yAxis) → C
  4. Segment(C, D) → d_1
  5. Segment(E, F) → e
  6. Segment(G, H) → i
  7. Function((a * sin(((b * (x - (c * 180 / π))))°)) + d, 0 + (c * 180 / π), 360 / abs(b) + (c * 180 / π)) → q
  8. Function((a * sin((b * (x - c)))) + d, 0 + c, (2 * π / abs(b)) + c) → h