Answer
Please see the figure attached.
Work Step by Step
The contour map of $f\left( {x,y} \right) = 3{x^2} - {y^2}$ with level curves $c = - 7, - 5, - 3,...,3,5,7$ is obtained by plotting the curves:
$c = 3{x^2} - {y^2}$ for $c = - 7, - 5, - 3,...,3,5,7$
The contour interval: $m=2$.
