Mastering the Transformation of Graphs: A Comprehensive Guide for DSE Students
Day 1: Basic translations and reflections
Do 10 MC: given f(x) and transformed graph, find shift/reflection. transformation of graph dse exercise
The transformation of graphs in the HKDSE Mathematics syllabus involves shifting, stretching, and reflecting parent functions. These changes are categorized by whether they affect the -coordinates (horizontal) or -coordinates (vertical). Summary of Graph Transformations Transformation Type Function Form Graphic Effect Coordinate Change (x,y)→open paren x comma y close paren right arrow Vertical Translation Shift up ( ) or down ( ) Horizontal Translation Shift right ( ) or left ( ) Vertical Stretch Stretch ( ) or compress ( ) Horizontal Stretch Compress ( ) or stretch ( ) Reflection (x-axis) Flip upside down Reflection (y-axis) Flip left-to-right Step-by-Step Exercise Example Problem: Let the graph have a minimum point at These changes are categorized by whether they affect
Translation involves shifting the graph horizontally or vertically without altering its shape or orientation. and reflecting parent functions.