Math Problem Solver

The graph of the equation \(x = y y\) is a parabola.

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

The coordinates of its focus are: \(\left(\frac{1}{4}, 0\right)\)

The directrix has equation: \(4 x + 1 = 0\).

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