Transformation Of Graph Dse Exercise

, it is a horizontal stretch (the graph pulls away from the y-axis). Strategic Approach to DSE Exercises

y=(−x)2−4(−x)+3y equals open paren negative x close paren squared minus 4 open paren negative x close paren plus 3 y=x2+4x+3y equals x squared plus 4 x plus 3 Question 3 A

This comprehensive guide breaks down the core transformation types, provides a systematic framework to solve exam-style questions, and offers targeted exercises with step-by-step solutions. 1. The Core 4 Transformations: A Summary transformation of graph dse exercise

is translated 2 units to the left, then compressed vertically by a factor of 0.5, and finally reflected across the x-axis, find the equation of the new graph Translate left by 2: Compress vertically by 0.5: Reflect across x-axis: Result:

By working through these concepts and exercises, you will be thoroughly prepared for any question on graph transformations that appears in the HKDSE exam. This is a topic where a solid understanding can guarantee marks, so keep practicing, and you'll be able to visualize and manipulate functions with ease. , it is a horizontal stretch (the graph

: Focus on Section B of Paper 1 and the late-question MCs in Paper 2 (typically Q35-Q40) where these concepts are frequently tested. Guided Tutorials DSE Transformations of Graphs

The transformation techniques applied to Graph DSE resulted in different graphs, each with its own properties. The node renaming transformation did not change the graph's structure, while the edge addition and deletion transformations modified the graph's connectivity. The node merging and splitting transformations changed the graph's node structure. The Core 4 Transformations: A Summary is translated

y=(x+2)2−3y equals open paren x plus 2 close paren squared minus 3

We apply the transformations to the coordinates of the vertex.

These move the graph without changing its shape or orientation. , the graph moves , it moves . This affects the -coordinates directly. Horizontal: . This is often counter-intuitive: moves the graph 2. Reflections (Flipping) Across the x-axis: -value is negated, "flipping" the graph upside down. Across the y-axis: -value is negated, "flipping" the graph sideways. 3. Scaling (Stretching/Compressing) , the graph stretches vertically. If , it compresses. Horizontal:

A helpful trick for DSE students is the "Inside/Outside" distinction: Outside the bracket ): The change is and follows logic ( is a stretch). Inside the bracket ): The change is horizontal and usually works negative h is a compression). Common DSE Pitfalls