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

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

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