Question

An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square of side x inches from each corner and turning up the sides.Graph V=V(x)

Answer 1

Each side of the base will be (24-2x)

v(x) = x(24-x)^2

Wolfram's magic done here:

http://www.wolframalpha.com/input/?i=plot+y+%3D+x%2824-x%29%5E2

Answer 2

for a better graph, substitute (24-2x)

Answer 3

x(24-2x)^2