Transformation Of Graph Dse Exercise Jun 2026

. Apply the changes to that one point to see where the new graph should be.

Given ( f(x) = x^3 - 3x ). Let ( g(x) = 2f(1-x) + 1 ). Find the x-coordinates of stationary points of ( g ). transformation of graph dse exercise

: For quadratic transformations, converting the equation to vertex form makes identifying the translations much easier. 3. Recommended Practice Resources Past Papers Let ( g(x) = 2f(1-x) + 1 )

| Mistake | Correction | |----------|-------------| | Confusing (f(2x)) and (f(x/2)) | (f(2x)) compresses, (f(x/2)) stretches horizontally | | Wrong order: translating then stretching | Do horizontal changes first (inside) before vertical (outside) | | Forgetting negative reflection direction | (-f(x)) flips x-axis, (f(-x)) flips y-axis | | Mixing up horizontal shift sign | (f(x+3)) → left, (f(x-3)) → right | | Ignoring asymptotes | For rational/log graphs, asymptotes also shift/reflect | asymptotes also shift/reflect |