Consider the conic section $\displaystyle{r = {\frac{3}{1-4\sin\!\left(\theta\right)}}}$.

1. Determine the eccentricity.
2. Determine the type of conic section. ? ellipse parabola hyperbola
3. Determine the directrix.
4. Determine the vertices.
5. Determine the center.
6. Determine the foci.
7. Determine the conjugate axis length.
8. Select the correct graph from those shown below. ? A B C D

1. 
2. 
3. 
4.