Write an Equation for Each of the Following $(3,0)$ And $e=\frac{3}{2}$
(B) the Conic with Focus at the Origin, Vertex

Short Answer

Write an equation for each of the following.
(a) The conic with center at the origin, focus at $(3,0)$ and $e=\frac{3}{2}$ .
(b) The conic with focus at the origin, vertex at $(-5,0)$ and $e=1$ .