MTH 105 Lecture 4: 2.4 Symmetry and Transformations Notes
Document Summary
Provide a generalization to the terms listed in this section. When a function gets either compressed, shifted, or even stretched to become a whole new function. Raising the graph of f by k units by adding k to f (x). y = f (x) + k, k > 0 y=f(x)-k. Lowering the graph of f by k units by subtracting k to f (x). y = f (x) k, k > 0. Shifting the graph of f to the left by h units by replacing x by x + h. y = f (x + h), h > 0 y=f(x-h) Shifting the graph of f to the right by h units by replacing x by x h. y = f (x h), h > 0. What is the axis of symmetry: the axis of symmetry is the line of symmetry for a graph, there are three di erent types of symmetry:
