Math Problem Solver

$1 = \frac{{x}^{2}}{4} + \frac{{y}^{2}}{9}$ is an equation of an ellipse, and is equivalent to $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$.

It is centered at $\left(0, 0\right)$.

Its foci are $\left(0, \sqrt{5}\right)$ and $\left(0, - \sqrt{5}\right)$.

Its minor axis has length $4$ with endpoints $\left(-2, 0\right)$ and $\left(2, 0\right)$.

Its major axis has length $6$ with endpoints $\left(0, -3\right)$ and $\left(0, 3\right)$.

The ellipse has parameterization: $$\begin{aligned}x\left(\theta\right) &= 2 \sin{\left(\theta \right)}\\y\left(\theta\right) &= 3 \cos{\left(\theta \right)}\end{aligned}$$