Question

Graph the function y=x(125-x). Find the dimensions that maximize the area of the pen. (What are the coordinates to the highest point in the graph?)

Answer 1

y=x(125-x)
= -x^2 + 125x
= -(x^2 -125x + 62.5^2) -(-62.5^2)
= -(x-62.5)^2 + 3906.25
So, vertex is at (62.5, 3906.25)

Answer 2

how did you get this line = -(x^2 -125x + 62.5^2) -(-62.5^2)

Answer 3

is y a model for the area of a pen?

Answer 4

yes