Understanding function transformations in graphs is essential for mastering how different mathematical operations affect graph shapes and positions.
- The transformations include vertical and horizontal shifts, reflections across axes, and stretching or compressing graphs
- Each transformation follows specific rules that modify either x or y coordinates
- Vertical transformations affect y-coordinates while horizontal transformations affect x-coordinates
- Reflections can occur across both x and y axes, creating mirror images of the original function
- Stretching and compression factors determine how the graph expands or contracts
