Transformations of Sine & Cosine Functions

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2016-06-08 20:45

This example demonstrates the effects of parameters a, b, c, and d on the graphs of sine and cosine functions. It involves core math concepts like function graph transformations, trigonometric properties, parametric equations, and coordinate geometry. GeoGebra commands and objects used include Intersect, Vector, Segment, Distance, and FractionText for construction. Suitable for high school students learning about trigonometric function transformations and graphing techniques.

GeoGebra Commands & Parameters

Intersect(f, g, (698.2189672603315, 0.7071067811865214)) → C
Vector(B, A) → u
Segment(E, D) → i
Distance(E, D) → distanceED
Segment(D, F) → j
Distance(D, F) → distanceDF
FractionText(e / π) → text1
Distance(B, A) → distanceBA
Distance(B, A) → l
Vector(K, G) → v
Distance(K, G) → distanceKG
Distance(K, G) → n
Distance(K, G) → o
Distance(G, H) → distanceGH
Segment(G, H) → p
Intersect(q, r) → L
Segment(L, H) → s
Distance(L, H) → distanceLH