y2y^{2} =12x

asked by guest
on Mar 17, 2025 at 2:42 pm



You asked:

Investigate the equation: y2=12x{y}^{2} = 12 x.

MathBot Answer:

The graph of the equation y2=12x{y}^{2} = 12 x is a parabola.


The coordinates of its vertex are: (0,0)\left(0, 0\right)

The coordinates of its focus are: (3,0)\left(3, 0\right)

The directrix has equation: x3+1=0\frac{x}{3} + 1 = 0.

The parabola has parameterization: x(θ)=θ212y(θ)=θ\begin{aligned}x\left(\theta\right) &= \frac{\theta^{2}}{12}\\y\left(\theta\right) &= \theta\end{aligned}

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