7$a^{2}$ +10=37x
You asked:
Investigate the equation: \(7 \cdot {a}^{2} + 10 = 37 x\).
MathBot Answer:
The graph of the equation \(7 \cdot {a}^{2} + 10 = 37 x\) is a parabola.
The coordinates of its vertex are: \(\left(0, \frac{10}{37}\right)\)
The coordinates of its focus are: \(\left(0, \frac{1649}{1036}\right)\)
The directrix has equation: \(\frac{28 x}{37} + \frac{1089}{1369} = 0\).
The parabola has parameterization: \[\begin{aligned}a\left(\theta\right) &= \theta\\x\left(\theta\right) &= \frac{10}{37} + \frac{7 \theta^{2}}{37}\end{aligned}\]