Level Curves

V.  Level Curves

A map will be shown of the desolation wilderness that represents the function that maps a longitude and latitude to an altitude.  We will investigate what the contour lines mean.  

We will make our own contour map of the function

f(x,y) =  y - x² by setting constant values for z:

When z = 1, we have y = x² + 1

When z = 2, we have y = x² + 2