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

 Jul 24, 2023
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Using substitution we can say that x can equal -9sqrt2 as the main goal of using this certain number is to cancel out the 18 as well as making it so that there is a zero that can multiply with 1/sqrt2. 

 

 

THUS THE CLOSEST POINT TO ORIGIN IS : (0, -9sqrt2)

 

The distance between these points (0 , -9sqrt2 ) and (0 , 0 ) will be = 9sqrt2 smiley

 Jul 24, 2023
edited by breadstickim01  Jul 24, 2023

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