(x^2) + 0.6875y = 913.0625
You asked:
Investigate the equation: \({x}^{2} + 0.6875 y = 913.0625\).
MathBot Answer:
The graph of the equation \({x}^{2} + 0.6875 y = 913.0625\) is a parabola.
The coordinates of its vertex are: \(\left(0, \frac{14609}{11}\right)\)
The coordinates of its focus are: \(\left(0, \frac{934855}{704}\right)\)
The directrix has equation: \(- \frac{64 y}{11} + \frac{935097}{121} = 0\).
The parabola has parameterization: \[\begin{aligned}x\left(\theta\right) &= \theta\\y\left(\theta\right) &= \frac{14609}{11} - \frac{16 \theta^{2}}{11}\end{aligned}\]