Trigonometry and Analytical Geometry

1. Identify the type of curve (parabola, hyperbola, circle, ellipsis).

y² +3(x² + 6x + 9) -2 = 0

2. Identify the type of curve (parabola, hyperbola, circle, ellipsis).

y =

3. Find the vertex, the focus, and the directrix of the parabola.

y = x² + 6x + 9

4. Find the center and the radius of the circle.

x² + y² – 10x + 8y = -32

5. Find the vertices and the foci of the given ellipse.

6. Find the vertices of the ellipse.

7. Graph. For a=3, b= -2 using the original

8. Graph.

9. Graph.

4x² + 49y² = 64

10. Graph.

x² + y² – 10x + 14y = -65