m=nsquared+3
You asked:
Investigate the equation: \(m = {n}^{2} + 3\).
MathBot Answer:
The graph of the equation \(m = {n}^{2} + 3\) is a parabola.
The coordinates of its vertex are: \(\left(3, 0\right)\)
The coordinates of its focus are: \(\left(\frac{13}{4}, 0\right)\)
The directrix has equation: \(4 m - 11 = 0\).
The parabola has parameterization: \[\begin{aligned}m\left(\theta\right) &= 3 + \theta^{2}\\n\left(\theta\right) &= \theta\end{aligned}\]