k-x=x^2+5x-2
You asked:
Investigate the equation: \(k - x = {x}^{2} + 5 x - 2\).
MathBot Answer:
The graph of the equation \(k - x = {x}^{2} + 5 x - 2\) is a parabola.
The coordinates of its vertex are: \(\left(-11, -3\right)\)
The coordinates of its focus are: \(\left(- \frac{43}{4}, -3\right)\)
The directrix has equation: \(4 k + 45 = 0\).
The parabola has parameterization: \[\begin{aligned}k\left(\theta\right) &= -11 + \theta^{2}\\x\left(\theta\right) &= -3 + \theta\end{aligned}\]