# Question #dbd28

##### 1 Answer

Define the distance between the graph and the point as a function and find the minimum.

The point is

#### Explanation:

To know how close they are, you need to know the distance. The Euclidean distance is:

where Δx and Δy are the differences between the 2 points. In order to be the nearest point, that point has to have the minimum distance. Therefore, we set:

We now need to find the minimum of this function:

The denominator is always positive as a square root function. The numerator is positive when:

So the function is positive when

Finally, the point where the least distance from (4,0) is observed is: