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

this problem makes my head hurt

i looked around for the solution already, but all that i got were wrong answers and my intructor keeps telling me "If (x, y) is on the graph, how far is it from the origin?" and i dont get it still :((

pls someone help before my teacher gives me a bad grade!! thank you so much!!! have a good day <3

Guest Jul 14, 2022