Mathematics Advanced
Further Graph Transformations
This module bridges the gap between theoretical functions and real-world periodic phenomena by applying transformation principles to trigonometric and logarithmic scales. Students learn to model cycles such as sound waves and tides by adjusting the amplitude, period, and phase of sine and cosine functions. Additionally, the topic introduces logarithmic scaling as a vital tool for measuring intensity across vast ranges, including decibels for sound, the Richter scale for earthquakes, and the pH scale in chemistry.
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