Transformation Of Graph Dse Exercise (2026)

Answers:

To solidify transformation skills, practice these past paper questions:

| Year | Paper | Question | Focus | |------|-------|----------|-------| | 2023 | 1 (Core) | Q.12 | Composite transformations (quadratic to cubic) | | 2022 | 2 (MCQ) | Q.28 | Horizontal vs vertical scaling in exponential graphs | | 2021 | M2 | Q.6b | Transformations and inflection points | | 2019 | 1 | Q.9 | Absolute value and translation | | 2018 | 2 | Q.33 | Sine graph: find amplitude, period, phase shift | transformation of graph dse exercise

When multiple transformations are applied, follow the order: Stretches → Reflections → Translations (SRT rule).

But easier: Work from inside to outside in function notation. Answers:

Example:
From (y = f(x)) to (y = -2f(3x + 6) + 4):

Outside: (-2f(\dots) + 4)

Order of operations:
Horizontal compression → Horizontal translation → Vertical stretch → Reflection → Vertical translation. To solidify transformation skills, practice these past paper

Transformation: ( (x, y) \to (x-2, \frac12 y - 1) )

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.

Why? Because examiners rarely ask you to plot a basic ( y = x^2 ) graph. Instead, they present a complex variant: ( y = -2(x-3)^2 + 4 ). Without transformation skills, you will struggle. With them, you can analyze the vertex, axis of symmetry, and intercepts in seconds.

This article provides a structured DSE exercise framework to master four core transformations: Translation, Reflection, Scaling (Dilation), and their Combined effects.