Math Problem Solver

The graph of the equation $y \cdot y = 10 x - 10 y - 25$ is a parabola.

The coordinates of its vertex are: $\left(0, -5\right)$

The coordinates of its focus are: $\left(\frac{5}{2}, -5\right)$

The directrix has equation: $\frac{2 x}{5} + 1 = 0$.

The parabola has parameterization: $$\begin{aligned}x\left(\theta\right) &= \frac{\theta^{2}}{10}\\y\left(\theta\right) &= -5 + \theta\end{aligned}$$