1. ${(y-12)}^2=24(x+6)$

2. ${(y-1)}^2=-8(x+3)$

3. Focus: $(0,{\displaystyle \frac{9}{4}});$ directrix: $x={\displaystyle \frac{9}{4}}$

4.

5. Vertex: $(-2,1);$ focus: $(-2,-1);$ directrix: $y=3$

6. $2/9\text{ ft}$

7. ${(y+1)}^2=24(x-3)$

8. ${\displaystyle \frac{x^2}{12}}+{\displaystyle \frac{y^2}{16}}=1$

9. ${\displaystyle \frac{x^2}{29}}+{\displaystyle \frac{y^2}{25}}=1$

10. ${\displaystyle \frac{x^2}{81}}+{\displaystyle \frac{y^2}{4}}=1$

11.

12. Vertices: (0, 1) and $(0,-1),$ foci: $(0,5\sqrt{2})$ and $(0,-5\sqrt{2})$

13.

14. ${\displaystyle \frac{y^2}{36}}-{\displaystyle \frac{x^2}{9}}=1$

15. $y^2-{(x-1)}^2=1$

16. ${\displaystyle \frac{{(x-1)}^2}{4}}-{(y+2)}^2=1$

17. Hyperbola

18. Parabola

19. Circle

20. Ellipse