Ellipse Standard Form Calculator

Calculates the standard form equation of an ellipse given specific geometric parameters, such as its vertices or foci. Users simply input known measurements into dedicated fields on the page, and the tool processes these coordinates to derive the precise algebraic representation of the curve. The calculator determines the values for $h$, $k$ (the center coordinates), and the semi-major and semi-minor axes ($a$ and $b$), fitting them into the standard equation $\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1$. Students or mathematics professionals needing to verify an ellipse's canonical form find this tool useful for practice and review. It provides a straightforward method for converting complex geometric inputs into their simplified algebraic equations, which is critical for problem-solving in analytic geometry.