x^2=4y

asked by guest
on Nov 19, 2024 at 8:29 am



You asked:

Investigate the equation: \({x}^{2} = 4 y\).

MathBot Answer:

The graph of the equation \({x}^{2} = 4 y\) is a parabola.

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

The coordinates of its focus are: \(\left(0, 1\right)\)

The directrix has equation: \(y + 1 = 0\).

The parabola has parameterization: \[\begin{aligned}x\left(\theta\right) &= \theta\\y\left(\theta\right) &= \frac{\theta^{2}}{4}\end{aligned}\]

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