Question

What will be the equation of vertical ellipse translated to the point $(h,k)$?

Answer 1

The equation of vertical and horizontal ellipse remains the same even after translation. The only difference is the relation between $a$ and $b$.

Hence, the equation of a vertical ellipse translated to the point $(h,k)$ is given by $\frac{(x-h{)}^2}{a^2}+\frac{(y-k{)}^2}{b^2}=1$ where $b>a$.