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

Guest Jul 24, 2023

#1**0 **

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 **

breadstickim01 Jul 24, 2023