Transformation Of Graph Dse Exercise Link

Transformation of Graphs

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

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Sketch: Start from ( y = (x+1)^2 - 4 ), take absolute value (reflect negative part above x‑axis), then shift 3 units. transformation of graph dse exercise

• Vertex: ( (h, k) )
• Axis: ( x = h )
• Opens up/down based on sign of ( a )

• Order of transformations: Horizontal shift vs. horizontal stretch: ( f(2x+3) ) should be treated as ( f(2(x+1.5)) ) – stretch then shift.
• Direction of shift: ( f(x+2) ) shifts left (many students mistakenly think right).
• Reflection in y‑axis vs. reflection in x‑axis: –( f(x) ) vs. ( f(-x) ).
• Vertical stretch after shift yields different result than shift after stretch.