x²-8x+2-m=0
You asked:
Investigate the equation: \({x}^{2} - 8 x + 2 - m = 0\).
MathBot Answer:
The graph of the equation \({x}^{2} - 8 x + 2 - m = 0\) is a parabola.
The coordinates of its vertex are: \(\left(-14, 4\right)\)
The coordinates of its focus are: \(\left(- \frac{55}{4}, 4\right)\)
The directrix has equation: \(4 m + 57 = 0\).
The parabola has parameterization: \[\begin{aligned}m\left(\theta\right) &= -14 + \theta^{2}\\x\left(\theta\right) &= 4 + \theta\end{aligned}\]