Vector calc problem. We're given an equation, told to find the traces and their shape and then graph the three together to form the final equations graph. The equation is 4y = x^2 + z^2. I found the traces:
x=k 4y-z^2=k^2
y=k 4k=x^2+z^2
z=k 4y-x^2=k^2
So I realized y=k would turn out to be a circle but what would x and z be in terms of their shape?