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# Graphing problem

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What is the smallest distnace between the origin and a point on the graph of $y = \frac{1}{\sqrt{2}} (x^2 - 18)$?

Jan 6, 2022

#2
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I have not done this question but this is how I would try tackling it.

work out formula for the distance between (0,0)  and  (  x, (x^2-18)/sqrt2   )

Then use calculus to minimize it.

Jan 6, 2022