Transformation Of Graph | Dse Exercise

✅ Answer: A (f(2x) → compress horizontally by 1/2; +3 → shift up).

Thus: ( a=3, b=-1, c=-1, d=2 ) → ( y = 3f(-x - 1) + 2 ) transformation of graph dse exercise

The 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 ( 0" style="display: inline"> ) or down ( ) Horizontal Translation Shift right ( 0" style="display: inline"> ) or left ( ) Vertical Stretch Stretch ( 1" style="display: inline"> ) or compress ( ) Horizontal Stretch Compress ( 1" style="display: inline"> ) 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 ✅ Answer: A (f(2x) → compress horizontally by

Do all graph transformation questions from Paper 1 (Section B) and Paper 2. transformation of graph dse exercise

Start: ( y = f(x) ) Reflect y-axis: ( y = f(-x) ) Vert stretch ×3: ( y = 3f(-x) ) Shift left 1: replace x with ( x+1 ) inside f: ( y = 3f(-(x+1)) = 3f(-x - 1) ) Shift up 2: ( y = 3f(-x - 1) + 2 )

Trig graphs test horizontal scaling (period change) and vertical scaling (amplitude) most intensely.