# How do you find the points on the parabola #y = 6 - x^2# that are closest to the point (0,3)?

##### 1 Answer

Substitute the equation of the parabola into the distance formula to get the square root of a quartic to minimise. This is quadratic in

#### Explanation:

If

This will have its minimum value when

When

So the points on the parabola at minimum distance from

As a bonus, we have also calculated the minimum distance as: