Write an Equation for Each of the Following $(0,3)$ And $e=1$
(B) the Conic with Center at the Origin, Focus

Short Answer

Write an equation for each of the following.
(a) The conic with focus at the origin and vertex at $(0,3)$ and $e=1$ .
(b) The conic with center at the origin, focus at $(-2,0)$ and $e=\frac{2}{3}$ .