Determine the points on the parabola $y=x^2 - 25$ that are closest to $(0,3)$ 
Determine the points on the parabola $y=x^2 - 25$ that are closest to $(0,3)$

I would like to know how to go about solving this. I have some idea of solving it. I believe you have to use implicit differentiation and the distance formula but I don't know how to set it up. Hints would be appreciated.

Hint: The formula for a circle around $(0,3)$ is $(y-3)^2 + x^2 = r$
Using this information, you want to find the intersection between $(y-3)^2 + x^2 = r$ and $y=x^2-25$ that minimizes $r$.
