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 What is the smallest distance between the origin and a point on the graph of \(y=\dfrac{1}{\sqrt{2}}\left(x^2-8\right)\)

 
 Oct 11, 2021
 #1
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By quadratic optimization, the smallest distance between the origin and the graph is $\boxed{2 \sqrt{2}}$.

 
 Oct 11, 2021
 #2
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eek that was incorrect as well.. 

 
Guest Oct 11, 2021
 #3
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This graph should help

 

The smallest distance occurs at x = 0.  You should now be able to determine the distance.

 
 Oct 12, 2021

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