The transformation techniques applied to Graph DSE resulted in different graphs, each with its own properties. The node renaming transformation did not change the graph's structure, while the edge addition and deletion transformations modified the graph's connectivity. The node merging and splitting transformations changed the graph's node structure.
In the HKDSE Mathematics curriculum, is a critical topic frequently appearing in Paper 1 (Section A and B) and Paper 2 (Multiple Choice). It involves changing a parent function
A. $y = 2f(2x)$ B. $y = \frac12f(2x)$ C. $y = 2f(\frac12x)$ D. $y = \frac12f(\frac12x)$
Example 2: Graphical Matching (Paper 2 Multiple Choice Style) The figure shows the graph of . If the graph is transformed into , how does the new graph look compared to the old one? Solution: transformation of graph dse exercise
Merging multiple related nodes into a single node to simplify the graph network.
-axis and then translated shifted right by 3 units, find the coordinates of the new vertex V′cap V prime Find the original vertex
In this exercise, we successfully applied various graph transformation techniques to Graph DSE and analyzed the resulting graphs. The transformations demonstrated the flexibility and power of graph manipulation, which is essential in many applications, such as network analysis, data mining, and software engineering. The transformation techniques applied to Graph DSE resulted
The most common mistake in DSE exams is horizontal translation and scaling.
The graph of $y = x^2 - 4x$ is drawn. (a) Write down the coordinates of the vertex and the x-intercepts. (b) The graph is translated left by 3 units and down by 5 units. Find the equation of the new graph. (c) The graph is reflected about the y-axis. Find the new equation.
: Remember that "inside changes variables horizontally and counter-intuitively," while "outside changes variables vertically and intuitively." For , students often multiply the -coordinates by 2. You must divide the -coordinates by 2. In the HKDSE Mathematics curriculum, is a critical
The graph of $y = f(x)$ undergoes the following transformations in order:
When completing an academic or interview exercise, you must always evaluate your solution's performance using Big-O notation. Transformation Type Adjacency List Complexity Adjacency Matrix Complexity Complement Graph Matrix to List Conversion Key Takeaway