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Graph reflection in axes and points
 


Graphs of functions y = f(x) and y = 2y0 - f(x) are symmetrical relatively to a horizontal line y= y0. In case of degeneracy of y0=0 the graphs are axis OX reflected.

Graphs of functions y = f(x) and y = f(2x0 - x) are symmetrically relatively a vertical line x= x0. In case of degeneracy of x0=0 the graphs are axis OY reflected.

These are axial symmetry.

Graphs of functions y = f(x) and y = 2 y0 - f(2 x0 - x) are symmetrically relatively to a point (a; b). In case of degeneracy of x0=0 and y0=0 the graphs are the point of origin reflected.

The simulation allows a user to enter a function f(x), set x0 and y0. Press a button with a reflection function and obtain a graph transformation.



 
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