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Transformation Of Graph Dse Exercise May 2026

Mastering the Transformation of Graphs: A Comprehensive DSE Exercise Guide

5. Common Student Errors (DSE Exam Feedback)

  1. The graph of y = 1/x is transformed to y = a/(x−2) + 3. Given the vertical and horizontal asymptotes, identify a and sketch for a = −2.
  2. A function f has zeros at x=−2,0,3. Describe the zeros after transformation g(x)=−2 f(0.5(x+4)) + 1.
  3. The curve y = ln x is shifted and stretched to y = 2 ln(3(x−1)) + 4. State domain and vertical asymptote.

Thus ( f(x) = \sqrt4 - (x+3)^2 ).

Part 3: DSE M2 Focus – Transformations in Calculus Context

(c) Reflection about y-axis:

"Transformation of Graphs"

In the Hong Kong DSE Mathematics exams, the topic is a perennial favorite. Whether you are tackling the Compulsory Part Paper 2 (Multiple Choice) or the Extended Part Module 1 (Calculus & Statistics) and Module 2 (Algebra & Calculus), understanding how a function’s graph shifts, reflects, or stretches is crucial. transformation of graph dse exercise

, it is a horizontal compression (the graph squishes toward the y-axis). Mastering the Transformation of Graphs: A Comprehensive DSE

Exercise 1: Basic Translation (2 marks – DSE Paper 1)