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The graph of the function $$y = f(x)$$ is symmetrical about the line $$x = 2$$, then
Let a function be symmetrical about a vertical line given by:
$$ x = a $$
Geometrically, this means that if we move a distance of x to the right of the line or a distance of x to the left of the line, the corresponding outputs of the function are identical. This property can be written as:
$$ f(a + x) = f(a - x) $$
The problem states that the graph is symmetrical about the specific line:
$$ x = 2 $$
Substitute the value of $$ a = 2 $$ into the symmetry relation formula:
$$ f(2 + x) = f(2 - x) $$
Final Answer:
The mathematical relation for the symmetry is $$ f(2 + x) = f(2 - x) $$.
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