MathPlotAI Logo MathPlotAI

Sine Function with Phase Shift Demo

Sine Function with Phase Shift Demo
Loading the math board and drawing, please wait…
2019-06-08 02:21
FunctionTrigonometryGraphing
This example demonstrates the transformation of a sine function graph under phase shift. Key math concepts include sine function, phase shift, and function graph transformations. Constructed using GeoGebra commands like Intersect, Rotate, Angle, Segment, Circle, and Vector. Suitable for high school mathematics education to understand the properties of trigonometric function graph transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → E
  2. Rotate(P1, α, E) → KQ
  3. Angle(P1, E, KQ) → β
  4. Rotate(KQ, (-δ), E) → KP
  5. Angle(KQ, E, KP) → γ
  6. Segment(A, (x(A) - d, 0)) → h
  7. Circle(E, k) → c
  8. Segment(E, KP) → i
  9. Vector(KP_0, KP) → j
  10. Vector(KQ_0, KQ) → u
  11. Segment(KQ, E) → l
  12. Vector(A, B) → sini
  13. Vector(C, C2) → sin2
  14. Vector((x(A) + 1, 0), (x(A) + 1, f(x(A) + 1))) → v