Transformation Of Graph Dse Exercise May 2026

Complete Guide: Transformation of Graphs (DSE Mathematics)

1. Why This Topic Matters in DSE

• Appears in Paper 1 (long questions) and Paper 2 (MC).
• Tests understanding of function families: quadratic, exponential, logarithmic, trigonometric, and rational.
• Common question types:

  The transformation of graphs is a fundamental topic in the DSE (Diploma of Secondary Education) Mathematics curriculum. Mastering this area is not just about memorizing formulas; it is about developing a visual intuition for how functions behave under various algebraic "stresses." Core Concepts of Graph Transformation

  ⚠️ Common Pitfall in DSE: Horizontal transformations are counter-intuitive.
  ( y = f(x - 2) ) moves the graph right, not left.
  ( y = f(2x) ) compresses horizontally (period halves), not expands. transformation of graph dse exercise

  • (y = f(2x)) → horizontal compression (graph becomes narrower).
  • (y = f(x/2)) → horizontal stretch (graph becomes wider).

  (reflect then shift up) results in a different graph than reflecting after shifting. In DSE Paper 2 (MC), always carefully track each step sequentially. Save My Exams Answer Restatement: The new vertex for starting from Appears in Paper 1 (long questions) and Paper 2 (MC)

  Topic: Transformation of Graphs

  Level: DSE Mathematics Core (Compulsory Part) Learning Objective: To understand and apply transformations (translation, reflection, scaling) to function graphs. (y = f(2x)) → horizontal compression (graph becomes

  Find the equation of the new graph. Then find the domain and range.

  1. Node Renaming: Renamed node C to F.
  2. Edge Addition: Added a new edge between nodes B and D.
  3. Edge Deletion: Deleted edge EA.
  4. Node Merging: Merged nodes A and E into a single node, AE.
  5. Node Splitting: Split node AE into two separate nodes, A and E.

  Analysis and Insights