. Find the new coordinates of this point after the transformation . The term
The figure shows ( y = f(x) ). Which of the following represents ( y = f(2x) + 1 )? transformation of graph dse exercise
Every transformation can be categorized into one of four movements. To succeed, you must distinguish between changes (affecting the output ) and Horizontal changes (affecting the input A. Translation (Shifting) Vertical Shift: +kpositive k moves the graph up ; −knegative k moves it down . Horizontal Shift: Counter-intuitive rule: moves the graph right , while moves it left . B. Reflection (Flipping) Reflection in x-axis: The graph flips upside down (all -coordinates change sign). Reflection in y-axis: The graph flips horizontally (left becomes right). C. Scaling (Enlarging/Compressing) Vertical Stretch/Compression: , the graph stretches vertically. If , it compresses. Horizontal Stretch/Compression: Counter-intuitive rule: If , the graph compresses horizontally by a factor of , it stretches . 2. Common DSE Pitfalls to Avoid The "Opposite" Rule for : Students often forget that operations inside the bracket Which of the following represents ( y = f(2x) + 1 )