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# help with functions! (last given answer was incorrect.) Thanks!

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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