Transformation Of Graph Dse Exercise Online

Transformations happening inside the function brackets (affecting

Translation involves moving the entire graph without changing its shape or orientation. , the graph moves up , the graph moves down Horizontal Shift: , the graph moves right units (e.g., moves 3 units right). , the graph moves left units (e.g., moves 3 units left). 2. Reflection: Flipping the Graph Reflection creates a mirror image of the original function. Reflection across the x-axis: All y-values change signs. The top becomes the bottom. Reflection across the y-axis: transformation of graph dse exercise

) usually behave the opposite of what you might expect. For example, adding to moves the graph left, and multiplying The top becomes the bottom

is translated 2 units to the left, then compressed vertically by a factor of 0.5, and finally reflected across the x-axis, find the equation of the new graph Translate left by 2: Compress vertically by 0.5: Reflect across x-axis: Result: it is a vertical stretch.

These transformations change the "tightness" or "steepness" of the graph. , it is a vertical stretch. , it is a vertical compression. Horizontal Change:

All x-values change signs. The left side becomes the right side. 3. Stretching and Compression

, it is a horizontal compression (the graph squishes toward the y-axis).