(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Write an expression for the distance between the point P(1,2) and an arbitrary point [tex]( x, \sqrt{x} )[/tex] on the curve [tex]y = \sqrt{x}[/tex]. Graph this distance versus x, and use the graph to find the x-coordinate of the point on the curve that is closest to the point P.

2. Relevant equations

N/A

3. The attempt at a solution

Well, here's the expression I wrote for the distance:

[tex]d = \sqrt{ (x - 1)^2 + ( 2 - \sqrt{x} )^2 }[/tex]

I've graphed this on a graphic software. Now, how can I use this graph to answer the question? What do I have to look for on the graph?

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# Homework Help: How to use the graph of the distance between any two points

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