x-0.1y=x^2
You asked:
Investigate the equation: \(x - 0.1 y = {x}^{2}\).
MathBot Answer:
The graph of the equation \(x - 0.1 y = {x}^{2}\) is a parabola.
The coordinates of its vertex are: \(\left(\frac{1}{2}, \frac{5}{2}\right)\)
The coordinates of its focus are: \(\left(\frac{1}{2}, \frac{99}{40}\right)\)
The directrix has equation: \(- 40 y + 101 = 0\).
The parabola has parameterization: \[\begin{aligned}x\left(\theta\right) &= \frac{1}{2} + \theta\\y\left(\theta\right) &= \frac{5}{2} - 10 \theta^{2}\end{aligned}\]