Equation of a circle when its centre is at (0, 0): x^2 + y^2 = radius^2
Equation of a circle when its centre is at (a, b): (x-a)^2 + (y-b)^2 = radius^2
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The list of choices that came along with the questiondoesn't include any graph that represents that equation.
slope
If a = b then it is a circle; otherwise it is an ellipse.
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!