9x^2-3y^2=36
You asked:
Investigate the equation: \(9 {x}^{2} - 3 {y}^{2} = 36\).
MathBot Answer:
The graph of the equation \(9 {x}^{2} - 3 {y}^{2} = 36\) is a hyperbola.
The coordinates of its foci are: \(\left(4, 0\right)\) and \(\left(-4, 0\right)\).
The coordinates of its vertices are: \(\left(2, 0\right)\) and \(\left(-2, 0\right)\).
The asymptotes have equations: \(4 \sqrt{3} x + 4 y = 0\) and \(4 \sqrt{3} x - 4 y = 0\).