Answer
Please see the figure attached.
Work Step by Step
The contour map of $f\left( {x,y} \right) = {x^2} - y$ with level curves $c = 0,2,4,6,...,14$ is obtained by plotting the curves:
$c = {x^2} - y$, ${\ \ \ \ }$ for $c = 0,2,4,6,...,14$
The contour interval: $m=2$.
