Answer :

The graph of the equation (x-4)^2 + (y-3)^2 = 4 corresponds to Circle B, situated in the first quadrant with a center at (4,3) and a radius of 2.

The equation (x-4)^2 + (y-3)^2 = 4 represents a circle with center (4,3) and radius 2. Examining the options, the correct circle is in the first quadrant. Circle B aligns with the equation, situated at (4,3), and its radius appropriately matches. Circles A, C, and D are positioned in different quadrants and have either incorrect centers or radii.

Therefore, the graph of the given equation corresponds to Circle B, accurately representing the specified circle in the first quadrant with center (4,3) and radius 2.

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