1. The problem statement, all variables and given/known data I have this function of two variables: [itex]f(x,y)=x^2-4x+y^2[/itex] Where I have to compute the level curves for: [itex]f(x,y)=-3, -2, -1, 0, 1[/itex] 2. Relevant equations - 3. The attempt at a solution So yeah well I know that I have to draw the following curves: [itex]-3=x^2-4x+y^2[/itex] [itex]-2=x^2-4x+y^2[/itex] [itex]-1=x^2-4x+y^2[/itex] [itex]0=x^2-4x+y^2[/itex] [itex]1=x^2-4x+y^2[/itex] But I must say that I have no idea how they are going to look. So if I would draw these by hand how would they look? Could I perhaps just isolate y?