1. Find the vertex, the focus, and the directrix. Then draw the graph.

x² = 12y

2. Find the equation of the parabola determined by the given information.

Focus (3,0), directrix x = -3

3. Find the vertex, the focus, and the directrix. Draw the graph of

y²- 3y - x + 4 = 0

4. Find the center and the radius of the circle with the given equation. Then draw the graph.

x²+ y²+ 2x - 10y = 0

5. Find the vertices and the foci of the ellipse with the given equation. Then draw the graph.

4x²+ 9y²= 36

6. Find the equation of an ellipse satisfying the given conditions.

Foci: (-2,0) and (2,0); length of major axis: 12

7. Find the center, the vertices, and the foci of the ellipse. Then draw the graph.

9x²+ 25y²- 54x + 100y - 44 = 0

8. Find the equation of a hyperbola satisfying the given conditions.

Vertices at (0,3) and (0,-3); foci at (0,5) and (0,-5)

9. Determine the foci and the equations of the asymptotes.

(y - 1)²/ 9 - (x - 1)²/ 4 = 1