Transformation Of Graph Dse Exercise | 2K |

Mastering the Transformation of Graphs: A Comprehensive DSE Exercise Guide

Introduction: Why Transformations Matter in DSE

In the Hong Kong DSE Mathematics exams, the topic "Transformation of Graphs" 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.

Sketch: Start from ( y = (x+1)^2 - 4 ), take absolute value (reflect negative part above x‑axis), then shift down 3 units. transformation of graph dse exercise

) usually behave the opposite of what you might expect. For example, adding to moves the graph left, and multiplying Mastering the Transformation of Graphs: A Comprehensive DSE

Note for students: Horizontal transformations are "opposite" of intuition: ( f(x+2) ) shifts left, ( f(2x) ) compresses horizontally. ) usually behave the opposite of what you might expect

Solution:

Sketch and Compare: Draw the new graph and check if the changes match the algebraic operations (e.g., did a actually flip it upside down?). Sample DSE Exercise Problem: Let be a function. If the graph of