eqns of osculating circles for y = 1/2x^2 at (0,0), (1,1/2)

[acpodgorski]

Find equations of the osculating circles for the parabola y=1/2x^2 at the points (0,0) and (1,1/2).

how do i do this?

 

[stapel]

how do i do this?

What method did they cover in your class and/or textbook for finding the equation of an osculating circle at a point on a curve? How far have you gotten in the process?

Please be complete. Thank you!

Eliz.