The graph of the function y = f(x) is symmetrical about the line x = 2, then

Question

Accepted Answer

Let us consider a graph symm. with respect to line $x=2$ as shown in the figure.

From the figure

$$f\left( {{x_1}} \right) = f\left( {{x_2}} \right),$$

where ${x_1} = 2 - x$ and ${x_2} = 2 + x$

$$\therefore$$ $$\,\,\,\,f\left( {2 - x} \right) = f\left( {2 + x} \right)$$

Solutions · 1