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What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8).

 Mar 2, 2023
 #1
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webcalc is not letting me upload images, so i will just give an answer without a graph :(


after graphing you find that the closest distance to the origin and a point on the graph is 1/16

 Mar 2, 2023
 #2
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the shortest distance is always a straight line.

thus when x=0 it will be a straight line to your graph

when x=0, y= -1/16 or y=1/16 

because  its a parabola its symetric

but distance is always positive so 1/16

 Mar 2, 2023
edited by Guest  Mar 2, 2023
edited by Guest  Mar 2, 2023

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