x^2-y^2=1
You asked:
Investigate the equation: \({x}^{2} - {y}^{2} = 1\).
MathBot Answer:
The graph of the equation \({x}^{2} - {y}^{2} = 1\) is a hyperbola.
The coordinates of its foci are: \(\left(\sqrt{2}, 0\right)\) and \(\left(- \sqrt{2}, 0\right)\).
The coordinates of its vertices are: \(\left(1, 0\right)\) and \(\left(-1, 0\right)\).
The asymptotes have equations: \(x + y = 0\) and \(x - y = 0\).