Final answer:
The subject of this question is Mathematics. It involves graphing polynomials and understanding the shape of the curve as the constants are adjusted. To graph the function f(x, y) = x² + y², you can plot the level curves and change the value of k to visualize the changes in the function.
Step-by-step explanation:
The subject of this question is Mathematics. Specifically, it involves graphing polynomials and understanding the shape of the curve as the constants are adjusted.
To graph the function f(x, y) = x² + y², you can plot the level curves. Level curves are the curves on the graph where the function value is constant. In this case, the level curves are dark blue curves that represent different values of the function.
Changing the value of k will affect the shape and position of the level curves, allowing you to visualize the changes in the function.