y=4(x+6)(x-2)
You asked:
Investigate the equation: \(y = 4 \cdot \left(x + 6\right) \cdot \left(x - 2\right)\).
MathBot Answer:
The graph of the equation \(y = 4 \cdot \left(x + 6\right) \cdot \left(x - 2\right)\) is a parabola.
The coordinates of its vertex are: \(\left(-2, -64\right)\)
The coordinates of its focus are: \(\left(-2, - \frac{1023}{16}\right)\)
The directrix has equation: \(16 y + 1025 = 0\).
The parabola has parameterization: \[\begin{aligned}x\left(\theta\right) &= -2 + \theta\\y\left(\theta\right) &= -64 + 4 \theta^{2}\end{aligned}\]