Understanding Function Rotation
Rotation is a geometric transformation that rotates an object around a specific center point with a determined rotation angle. In the context of functions, rotation changes the position of the function graph by rotating every point on the graph.
Imagine rotating a wheel. Every point on the wheel will move following a circle with the rotation center as its center. Similarly with function graphs, every point will rotate following the same pattern.
Rotation Formula Around Center Point
For rotation around center point with angle , the transformation formula is: