X^2=100x−7500
You asked:
Investigate the equation: \({X}^{2} = 100 x - 7500\).
MathBot Answer:
The graph of the equation \({X}^{2} = 100 x - 7500\) is a parabola.
The coordinates of its vertex are: \(\left(0, 75\right)\)
The coordinates of its focus are: \(\left(0, 100\right)\)
The directrix has equation: \(\frac{x}{25} - 2 = 0\).
The parabola has parameterization: \[\begin{aligned}X\left(\theta\right) &= \theta\\x\left(\theta\right) &= 75 + \frac{\theta^{2}}{100}\end{aligned}\]