Find the coordinates of the point on the parabola which is the closest to the point (3,0).

I'm just wondering if I did this correctly:

a point on the curve would be

So, i found the distance between and .

Then, I took the derivative to minimize the distance.

Set it equal to zero to find where the minimum occurs.

Plug it back in to get the y-value

The point on which is closest to the point is .

Is this correct?