0.01x-0.1y=x^2

asked by guest
on Jan 10, 2025 at 5:04 am



You asked:

Investigate the equation: \(0.01 x - 0.1 y = {x}^{2}\).

MathBot Answer:

The graph of the equation \(0.01 x - 0.1 y = {x}^{2}\) is a parabola.

The coordinates of its vertex are: \(\left(\frac{1}{200}, \frac{1}{4000}\right)\)

The coordinates of its focus are: \(\left(\frac{1}{200}, - \frac{99}{4000}\right)\)

The directrix has equation: \(- 40 y + \frac{101}{100} = 0\).

The parabola has parameterization: \[\begin{aligned}x\left(\theta\right) &= \frac{1}{200} + \theta\\y\left(\theta\right) &= \frac{1}{4000} - 10 \theta^{2}\end{aligned}\]

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