💡 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 stretch (the graph pulls away from the y-axis). Strategic Approach to DSE Exercises transformation of graph dse exercise
by 2 compresses it. Transformations outside the function (affecting ) behave intuitively. Step-by-Step Breakdown Recognize the original 💡 Always check the wording carefully
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: Strategic Approach to DSE Exercises by 2 compresses it
These transformations change the "tightness" or "steepness" of the graph. , it is a vertical stretch. , it is a vertical compression. Horizontal Change:
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