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What type of Conic Section are you?

What type of Conic Section are you?. _________________________ _____________________ _____________________ _____________________ ___________________ ___________________ __________________ _________________ _________________ _________________ _________________ ______________

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What type of Conic Section are you?

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  1. What type of Conic Section are you?

  2. _________________________ _____________________ _____________________ _____________________ ___________________ ___________________ __________________ _________________ _________________ _________________ _________________ ______________ ______________ ______________ ______________ Topics in Analytical Geometry

  3. Phone A Friend • “OK Contestant…Please select a friend to help you with this one. You have thirty seconds to discuss your options…” Return to the Question

  4. Ask the Audience • “Audience, we need your help on this one…in a moment, we’ll ask you to indicate, by show of hands, your choice for the correct answer…” Return to the Question

  5. 50/50 Fifty - Fifty • You’ve asked that two of the wrong answers be eliminated, leaving you with one wrong answer plus the correct one. Return to the Question

  6. Correct Correct! Proceed to Next Question

  7. Incorrect Sorry, That’s Incorrect Return to the Question

  8. Find the general form of the conic section. State the type of conic, vertices, foci, and asymptotes (if applicable).4x2 + y2 + 8x + 6y = 3 50/50 A B C D

  9. Find the general form of the conic section. State the type of conic, vertices, foci, and asymptotes (if applicable).–4x2 + 25y2 – 8x + 150y + 121 = 0 50/50 A B C D

  10. Find the general form of the conic section. State the type of conic, vertices, foci, and asymptotes (if applicable).x2 + y2 – 10x + 22 = 0 50/50 A B C D

  11. Find the general form of the conic section. State the type of conic, vertices, foci, and asymptotes (if applicable).y = x2 – 2x 50/50 A B C D

  12. An arch in the form of a semi-ellipse has a span of 150 feet and its greatest height is 55 feet. There are two vertical supports equidistant from each other and the ends of the arch. Find their height. 50/50 About 52 feet About 30 feet A B About 42 feet About 54 feet C D

  13. Find the equation of an ellipse with major vertices (–4,0) and (4,0) and eccentricity ¼. 50/50 A B C D

  14. A semi-elliptical archway is set on pillars that are 10 feet apart. Its height (atop the pillars) is 4 feet. Where should the foci be placed in order to sketch the semi-elliptical arch? 50/50 9.2 feet on either side of the center 6.4 feet on either side of the center A B 3 feet on either side of the center 5 feet on either side of the center C D

  15. Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form. x2 – 10xy + y2 + 1 = 0 50/50 A B C D

  16. Sketch the curve represented by the parametric equations and write the corresponding rectangular equation by eliminating the parameter.x = 1/t y = 2t + 3 50/50 A B C D

  17. Sketch the curve represented by the parametric equations and write the corresponding rectangular equation by eliminating the parameter.x = 3 + 3cos y = 2 + 5sin 50/50 A B C D

  18. Sketch the curve represented by the parametric equations and write the corresponding rectangular equation by eliminating the parameter.x = sec  y = tan  50/50 A B I cannot reveal the answer … it’s top secret information! C D

  19. Convert the polar equation to rectangular form:r = 12 50/50 Why don’t you tell me!!! A B C D

  20. Convert the polar equation to rectangular form:r = 8 sin  50/50 A B C D

  21. Convert the rectangular equation to polar form:x = 14 50/50 r = 14 sec  r = 14 csc  A B r = 14 sin  r = 14 cos  C D

  22. Convert the rectangular equation to polar form:x2 + y2 – 6y = 0 50/50 r = 6 cos  r = 6 sin  A B r = 6 csc  r = 6 sec  C D

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