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Amplitude and Vertical Shift of Cosine and Sine

Amplitude and Vertical Shift of Cosine and Sine
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2016-11-22 05:27
FunctionTrigonometryParametric Equation
This example demonstrates the amplitude and vertical shift of cosine and sine functions. Key mathematical concepts include trigonometric functions, function graphs, and parametric equations. Using GeoGebra commands such as Vector, Point, If, and Sequence, the amplitude and vertical shift can be dynamically adjusted to observe changes in the function graph. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector(B, C) → u
  2. Point(f) → D
  3. Vector(D, E) → v
  4. If(k < 0, Text["-"], Text["+"]) → text1
  5. If(k > 0, Text["+"], k < 0, Text["-"], Text[""]) → text1_1
  6. Sequence(Segment[((90 * n), (-d)), ((90 * n), d)], n, -3, 5, 1) → list1
  7. Sequence(Segment[((-57.3 * d), n), ((57.3 * d), n)], n, -10, 10, 1) → list2
  8. If(k_1 > 0, Text["+"], k_1 < 0, Text["-"], Text[""]) → text1_2