How do I rotate the axes of and then graph #y^2-6x^2-4x+2y=0#?
It is explained below.
In the 2nd degree equation
if AC<0, the it represents a hyperbola. In the present case it is indeed so as AC=-6 which is < 0.
The equation can be rewritten as
Which clearly shows it is a hyperbola. Now if the angle of rotation of axes is