y=(0.03475*$a^{2}$)+(0.0937*a)
You asked:
Investigate the equation: \(y = 0.03475 {a}^{2} + 0.0937 a\).
MathBot Answer:
The graph of the equation \(y = 0.03475 {a}^{2} + 0.0937 a\) is a parabola.
The coordinates of its vertex are: \(\left(- \frac{937}{695}, - \frac{877969}{13900000}\right)\)
The coordinates of its focus are: \(\left(- \frac{937}{695}, \frac{99122031}{13900000}\right)\)
The directrix has equation: \(\frac{139 y}{1000} + \frac{100877969}{100000000} = 0\).
The parabola has parameterization: \[\begin{aligned}a\left(\theta\right) &= - \frac{937}{695} + \theta\\y\left(\theta\right) &= - \frac{877969}{13900000} + \frac{139 \theta^{2}}{4000}\end{aligned}\]