g x = 2𝑥 − 10
You asked:
Investigate the equation: \(g x = 2 x - 10\).
MathBot Answer:
The graph of the equation \(g x = 2 x - 10\) is a hyperbola.
The coordinates of its foci are: \(\left(2 - 2 \sqrt{5}, 2 \sqrt{5}\right)\) and \(\left(2 + 2 \sqrt{5}, - 2 \sqrt{5}\right)\).
The coordinates of its vertices are: \(\left(2 - \sqrt{10}, \sqrt{10}\right)\) and \(\left(2 + \sqrt{10}, - \sqrt{10}\right)\).
The asymptotes have equations: \(- 4 \sqrt{10} g + 8 \sqrt{10} = 0\) and \(4 \sqrt{10} x = 0\).