-X^2-6x+3=0
You asked:
Investigate the equation: \(-{X}^{2} - 6 x + 3 = 0\).
MathBot Answer:
The graph of the equation \(-{X}^{2} - 6 x + 3 = 0\) is a parabola.
The coordinates of its vertex are: \(\left(0, \frac{1}{2}\right)\)
The coordinates of its focus are: \(\left(0, -1\right)\)
The directrix has equation: \(- \frac{2 x}{3} + \frac{4}{3} = 0\).
The parabola has parameterization: \[\begin{aligned}X\left(\theta\right) &= \theta\\x\left(\theta\right) &= \frac{1}{2} - \frac{\theta^{2}}{6}\end{aligned}\]