Transformation Of Graph Dse Exercise »

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

Draw the new graph and check if the changes match the algebraic operations (e.g., did a actually flip it upside down?). Sample DSE Exercise Problem: Let be a function. If the graph of transformation of graph dse exercise

, it is a horizontal compression (the graph squishes toward the y-axis). ) usually behave the opposite of what you might expect

All x-values change signs. The left side becomes the right side. 3. Stretching and Compression If the graph of , it is a

, it is a horizontal stretch (the graph pulls away from the y-axis). Strategic Approach to DSE Exercises

Usually, it is easier to deal with shifts and stretches involving before moving to

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: