Math Problem Solver

The graph of the equation \(y = 1 - X X\) is a parabola.

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

The coordinates of its focus are: \(\left(0, \frac{3}{4}\right)\)

The directrix has equation: \(- 4 y + 5 = 0\).

The parabola has parameterization: \[\begin{aligned}X\left(\theta\right) &= \theta\\y\left(\theta\right) &= 1 - \theta^{2}\end{aligned}\]