Transformations happening inside the function brackets (affecting
Usually, it is easier to deal with shifts and stretches involving before moving to
Graph transformations typically fall into four main categories: Translation, Reflection, Stretching, and Compression. These changes can happen either vertically (affecting the y-coordinates) or horizontally (affecting the x-coordinates). 1. Translation: Shifting the Graph transformation of graph dse exercise
) usually behave the opposite of what you might expect. For example, adding to moves the graph left, and multiplying
All x-values change signs. The left side becomes the right side. 3. Stretching and Compression Translation: Shifting the Graph ) usually behave the
💡 Always check the wording carefully. "Reflected across the x-axis" is a vertical change, while "reflected across the y-axis" is a horizontal change.
, it is a horizontal compression (the graph squishes toward the y-axis). and finally reflected across the x-axis
When tackling a "transformation of graph DSE exercise," students often get confused by the order of operations. Use these tips to stay organized: The "Inside-Out" Rule
Choose specific coordinates, such as the vertex or intercepts, and apply the transformations to those points one by one.
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:
