1. The problem statement, all variables and given/known data Find a vector-valued function f that parametrizes the curve (x-1)^2 + y^2 = 1 2. Relevant equations (x-1)^2 + y^2 = 1 3. The attempt at a solution The equation is the graph of a circle that is 1 unit to the right of the origin, therefore a parametrization would be x(t) = cos(t) + 1 y(t) = sin(t) Therefore a vector-valued function that parametrizes this curve is given by r(t) = (cos(t) + 1)i + sin(t)j I've been having trouble with parametrization lately so I was wondering if this is correct. Also, is there a better method to go about this sort of thing? Is it entirely visual and you just have to have a "feel" for it?