Transformation Of Graph Dse Exercise

4‑Week DSE Graph Transformation Exercise Pack

Overview

A progressive set of exercises (4 weeks) for secondary students preparing for Hong Kong DSE (or equivalent) on graph transformations: translations, reflections, stretches/compressions, and combinations. Each week has objectives, worked examples, practice questions, and answers.

  • Graph DSE (Node Merging):

    Note for students: Horizontal transformations are "opposite" of intuition: ( f(x+2) ) shifts left, ( f(2x) ) compresses horizontally. transformation of graph dse exercise

    Day 4: Trigonometric and logarithmic graphs
    Sketch (y = 2\sin(3x - \pi) + 1) and (y = -\ln(2x) + 3). 4‑Week DSE Graph Transformation Exercise Pack Overview A

    Example 2: Reflection and Shift

    If ( f(x) = \sqrtx ), find equation after reflecting in y-axis then shifting right 2 units. Graph DSE (Node Merging) : Note for students: