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  3. consider the equation x^2+(y-2)^2 and the relation

Consider the equation x^2+(y-2)^2 and the relation “(x, y) R (0, 2)”, where R is read...

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Advance Math

Consider the equation x^2+(y-2)^2 and the relation “(x, y) R (0,2)”, where R is read as “has distance 1 of”. For example, “(0, 3) R(0, 2)”, that is, “(0, 3) has distance 1 of (0, 2)”. This relationcan also be read as “(x, y) belongs to the circle of radius 1 withcenter (0, 2)”. In other words: “(x, y) satisfies this equation if,and only if, (x, y) R (0, 2)”. Does this equation determine arelation between x and y? Can the variable x can be seen as afunction of y, and y be seen as a function of x? What are thedomains for these two functions? What are the graphs of these twofunctions? Are there points of the coordinate axes that relate to(0, 2) by means of R? Your Discussion should be a minimum of 250words in length and not more than 750 words.

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