Trig/Precalc Chapter 9.1-9.3 Study Guide Name ______

Name: ______Per: ______

A. Consider the equation: 4x2 + 16 y 2 – 24 x – 32 y – 12 = 0

1. What type of Conic would this equation represent? ______

2. Find the Standard form of the equation.

Find the following: 3. Center 4. Vertices 5. foci

B. Consider the equation: x2 + 32 y = 0

6. What type of Conic would this equation represent? ______

7. Write the standard form of the equation.

Find the following: 8. Vertex: 9. Focus: 10. Directrix 11. Latus Rectum:

Study Guide Page 1 Trig/Precalc Chapter 9.1-9.3 Study Guide

C. Consider the equation.

12x2 – 4 y 2 – 120 x + 32 y + 188= 0

12. What type of Conic would this equation represent? ______

13. Write the standard form of the equation.

Find the following:

14. Center: 15. Vertex: 16. Foci

17. Find the standard form of the parabola with the given characteristics

Focus: (-8, 4) Directrix: y = 2

18. Find the standard form of the ellipse with the given characteristics:

Center: (-3, 8) foci: (-8, 8) (2, 8)

19. Find the standard form of the hyperbola with the given characteristics:

Vertices: (4, -8) (4, -2) foci: (4, -9) (4, -1)

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