Transformation - Of Graph Dse Exercise !link!

Do 10 MC: given f(x) and transformed graph, find shift/reflection.

Moving a property from an edge to a vertex, or vice versa, to improve filtering efficiency.

| Transformation | Effect on graph | Mapping of point ((x, y)) | |----------------|----------------|-----------------------------| | ( y = f(x) + a ) | Shift by (a) | ((x, y) \to (x, y+a)) | | ( y = f(x) - a ) | Shift down by (a) | ((x, y) \to (x, y-a)) | | ( y = f(x+a) ) | Shift left by (a) | ((x, y) \to (x-a, y)) | | ( y = f(x-a) ) | Shift right by (a) | ((x, y) \to (x+a, y)) | | ( y = a f(x) ) | Vertical stretch (if (a>1)) or compression ((0<a<1)) | ((x, y) \to (x, a y)) | | ( y = f(ax) ) | Horizontal compression (if (a>1)) or stretch ((0<a<1)) | ((x, y) \to (\fracxa, y)) | | ( y = -f(x) ) | Reflection in x‑axis | ((x, y) \to (x, -y)) | | ( y = f(-x) ) | Reflection in y‑axis | ((x, y) \to (-x, y)) | transformation of graph dse exercise

This post serves as a complete exercise guide. We will briefly recap the concepts, run through the must-know formulas, and then tackle three common types of DSE-style transformation questions.

When you encounter a graph transformation question in DSE, follow this : Do 10 MC: given f(x) and transformed graph,

In the HKDSE Mathematics curriculum, is a critical topic frequently appearing in Paper 1 (Section A and B) and Paper 2 (Multiple Choice). It involves changing a parent function

. Find the new coordinates of this point after the transformation . The term We will briefly recap the concepts, run through

Try these questions based on common HKDSE past paper patterns : Given the function is changed to , describe the geometric transformation. Step 1: Rewrite in terms of

Let ( g(x) = |f(x+2)| - 3 ). If ( f(x) = (x-1)^2 - 4 ), (a) Find the x‑intercepts of ( g(x) ). (b) Sketch ( y = g(x) ).