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ET:10.3a (Review of 10.2) Find the focus, vertex, and directrix of the parabolas

ET:10.3a (Review of 10.2) Find the focus, vertex, and directrix of the parabolas. V (0, 2). (-1, 2). 10.3 Ellipses. Vertex. A. a: b: c:. b. Belly (how fat). c. F ocus.

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ET:10.3a (Review of 10.2) Find the focus, vertex, and directrix of the parabolas

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  1. ET:10.3a (Review of 10.2)Find the focus, vertex, and directrix of the parabolas

  2. V (0, 2) (-1, 2)

  3. 10.3 Ellipses Vertex A a: b: c: b Belly (how fat) c Focus

  4. An ellipse is the collection of all points in the plane the sum of whose distances from two fixed points, called the foci, is a constant. • The line containing the verticies and foci is called the major axis. • The other line of symmetry is the minor axis

  5. Find the center, foci, vertices & graph.

  6. Find the center, foci, vertices & graph.

  7. Find the center, foci, vertices & graph. = 1 You should be able to take it from here.

  8. 10.3b ET: If e = .1 or e=.9, what shape do you have? Definition of Eccentricity e of an ellipse is given by the ratio Note that 0 < e < 1 Large e. Small e If b = a, Then circle. Look @ #15 from HW

  9. Find an equation for the ellipse & graph: Center at (2,-3) vertex at (5,-3) focus at (3,-3)

  10. Find an equation for the ellipse in standard form & graph: ? +1 +1 + 4 +4 + 4

  11. Graph on your calculator

  12. Center (1, -2) a2 = b2+ c2 a2 = 4 a2 = b2 = b2 = 1 4 = 1+ c2 a = 2 b = 1 √3=c Major Axis x = 1 V1(1,0) V2(1,-4) F1(1,-2+√3) F2(1,-2-√3)

  13. 10.3 • Day 1: 7,9,12,13,15, 31, 32, 50, 53 • Day 2: 19, 23-27, 33,55

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