Does this equation determine a relation between x & y?

Consider the equation x2 + (y-2)2 = 1 and the relation”(x , y) r (0 , 2)”, where r is read as has distance 1 of. Does this equation determine a relation between x and y? Can the variable x can be seen as a function of y , like x = g(y)? Can the variable y be expressed as a function of x , like y = h(x)? If these are possible, then what will be the domains of these two functions? Are there points of the coordinate axes that relate to (0,2) by mean of r?.

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