What is the smallest distance between the origin and a point on the graph of y=(1/sqrt(2))(x^2-3) ?

Guest Nov 30, 2019

#2**+1 **

What is the smallest distance between the origin and a point on the graph of y=(1/sqrt(2))(x^2-3) ?

\(y=\frac{1}{\sqrt2}(x^2-3) \\ \sqrt2\;y+3=x^2\\ x^2=\sqrt2\;y+3\)

this is a concave up parabola with the vertex at (0,3)

So what do you think the smallest distance to the origin is?

Melody Dec 1, 2019