x*y+2x+4y=8
You asked:
Investigate the equation: \(x y + 2 x + 4 y = 8\).
MathBot Answer:
The graph of the equation \(x y + 2 x + 4 y = 8\) is a hyperbola.
The coordinates of its foci are: \(\left(- 4 \sqrt{2} - 4, - 4 \sqrt{2} - 2\right)\) and \(\left(-4 + 4 \sqrt{2}, -2 + 4 \sqrt{2}\right)\).
The coordinates of its vertices are: \(\left(-8, -6\right)\) and \(\left(0, 2\right)\).
The asymptotes have equations: \(- x - 4 = 0\) and \(- y - 2 = 0\).