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?