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Warm Up

1) 9x 2 + 4y 2 + 36x - 8y + 4 = 0. Warm Up. 2) y 2 - 4x 2 - 8x - 18y + 13 = 0. Rewrite each equation in information form. Then, graph and find the coordinates of all focal points. 3) Write an equation of the parabola described. a) Directrix: y = -2 and vertex (1, 3)

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Warm Up

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  1. 1) 9x2+ 4y2 + 36x - 8y + 4 = 0 Warm Up 2) y2 - 4x2 - 8x - 18y + 13 = 0 Rewrite each equation in information form. Then, graph and find the coordinates of all focal points. 3) Write an equation of the parabola described. a) Directrix: y = -2 and vertex (1, 3) b) Focus (-4, 5) , Directrix: x = 0

  2. Homework Questions?

  3. Trashketball

  4. Complete the three polar points so that they will have the same graphic representation as (-3, 100), but different numerical values for the angle. A. (-3, ________) B. (3, _+_______) C. (3, _-_______)

  5. Convert to rectangular: • ( 2, 240) • (-3,135) • (1, -210)

  6. Calculator active Determine the polar coordinates of (-4, -9) (Remember: no negative angles) Round to 3 decimal places Complete the ordered pairs for points on the graph of r = 3 + 3cosθ a) ( ____, 0º) b) ( _____, 60º) c) (_____, 180º)

  7. Calculator Active/ Neutral Given r = mcos(nθ) , explain the effect of m and n on the graph

  8. What is the vertex, focus and directrix of the parabola with equation given… 1) y = -¼(x – 3)2 + 1 2) x = 4y2 + 16y + 19?

  9. No Calculator 1) What are the foci of the ellipse with equation x2 + 4y2 = 36? 2) What type of conic is the graph of x2+ 25y2 = 50? State the center. • What type of conic is the graph of x2– y2– 2x – 4y = 28? • State the center.

  10. Find the foci, length of the transverse and conjugate axes, and equations of the asymptotes of the hyperbola with equation

  11. Write an equation of the conic section described. • parabola with focus (-2, 4) and directrix y = 0. • Ellipse with endpoints of the major axis (-2, 5) and (-2, -1) and foci (-2, 4) and (-2, 0)

  12. For the ellipse: 4(x + 4)2 + 9(y – 1)2 = 36, graph and determine the length of the major and minor axes. Also determine the coordinates of the foci.

  13. For the hyperbola: 4x2 – y2 + 8x – 6y = 9, graph, determine the length of transverse and conjugate axes, foci and equation of the asymptotes.

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