Subtract 5 from the entire function:
and ask for the new coordinates after a series of transformations.
Write equation after 3 steps. Then reverse to find original. transformation of graph dse exercise
This report provides:
: The point P(3, -1) lies on the graph of y = f(x) . What are the coordinates of its image on the graph of y = f(x) - 4 ? Subtract 5 from the entire function: and ask
Horizontally compressing to half its width means multiplying the inside variable by 2 (inverse behavior) Shifting upward by 1 unit adding 1 to the outside 4. Summary Cheat Sheet for DSE Revision Transformation Change in Equation Effect on Coordinates Shift Up Shift Down Shift Left Shift Right Reflect Over X-Axis Reflect Over Y-Axis Vertical Stretch ( ) Horizontal Compression ( )
Exercises often require students to identify the new coordinates of a "turning point" or "intercept" after multiple transformations. The order matters: generally, you should apply stretches/reflections before translations if they are grouped, though DSE questions usually provide a specific sequence to follow. To help you with a specific exercise, let me know: original function key coordinates (e.g., vertex at specific transformation being applied (e.g., If you need a step-by-step solution for a past paper question I can then walk you through the exact movements for that problem. This report provides: : The point P(3, -1)
: The transformation y = f(x) - 4 is a vertical translation 4 units down. Therefore, the point P(3, -1) is mapped to (3, -1 - 4) = (3, -5) .
) before attempting to apply geometric transformations manually. It makes tracking changes much easier.