j=(3x+4)(3x-4)-4
You asked:
Investigate the equation: \(j = \left(3 x + 4\right) \cdot \left(3 x - 4\right) - 4\).
MathBot Answer:
The graph of the equation \(j = \left(3 x + 4\right) \cdot \left(3 x - 4\right) - 4\) is a parabola.
The coordinates of its vertex are: \(\left(-20, 0\right)\)
The coordinates of its focus are: \(\left(- \frac{719}{36}, 0\right)\)
The directrix has equation: \(36 j + 721 = 0\).
The parabola has parameterization: \[\begin{aligned}j\left(\theta\right) &= -20 + 9 \theta^{2}\\x\left(\theta\right) &= \theta\end{aligned}\]