Exercise: Transformation Of Graph Dse
Creating a report on for the Hong Kong DSE (HKDSE) requires a balance of core concepts and specific exam techniques. This report summarizes the essential transformations, common exam pitfalls, and "quick-look" tips to help you master the topic. 1. Executive Summary: The "Inside vs. Outside" Rule
The objective of this exercise was to apply various graph transformation techniques to a given graph, denoted as Graph DSE, and analyze the resulting graphs.
These exercises assess your ability to manipulate fundamental data structures like and Adjacency Matrices while maintaining optimal time and space complexity. Common Types of Graph Transformations transformation of graph dse exercise
The graph shifts left by 2 units and down by 3 units . Apply transformations to each point:
) by tweaking its equation. For DSE Maths, you mainly need to master these four moves: 1. Translations (Shifts) These slide the graph without changing its shape. Vertical Shift: positive k negative k Horizontal Shift: negative h units (counter-intuitive!). positive h 2. Reflections (Flips) These create a mirror image. Across x-axis: -values change sign; the graph flips upside down). Across y-axis: -values change sign; the graph flips left-to-right). 3. Dilatations (Scaling) These stretch or compress the graph. : Stretch vertically. : Compress vertically. Horizontal: : Compress horizontally (it gets "thinner"). : Stretch horizontally (it gets "wider"). 4. DSE Strategy: The "Order of Operations" If an exercise asks for multiple transformations (e.g., ), follow this order to avoid mistakes: orizontal translation ilatation/Reflection ertical translation Creating a report on for the Hong Kong
Should we focus on or trigonometric functions ( Share public link
This is a classic DSE trap.
: Reverse the direction of all edges in a directed graph (digraph). The Math : If an edge , then the transformed edge
Every year, students lose valuable marks because they confuse a "translation" with a "reflection" or forget the golden rules of scaling. Executive Summary: The "Inside vs
