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200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 8-1 & 8-2 8-3 & 8-4 8-5 & 8-6 8-7 Formulas.

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Presentation on theme: "200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 8-1 & 8-2 8-3 & 8-4 8-5 & 8-6 8-7 Formulas."— Presentation transcript:

1 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 8-1 & 8-2 8-3 & 8-4 8-5 & 8-6 8-7 Formulas

2 What is the distance between A(-3,-6) and B(4,-4)

3 100 units

4 Identify the coordinates of the vertex, focus, equations of the axis of symmetry, and the latus rectum y = 2x 2

5 200 Vertex (0,0) Focus (1/2, 0) Axis of Symmetry x = 0 Directrix x = -1/2 Latus rectum = 2 units

6 Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix. Then find the length of the latus rectum. -2(y-4) = (x-1) 2

7 300 Vertex (1,4) Focus (1, 3.5) Axis of Symmetry x = 1 Directrix y = 4.5 Latus Rectum 2 units

8 Use the Distance Formula to find the distance from (0, ), (, ) 1 5 5 3 - 3 5

9 400 1 unit

10 Find the distance between each pair of points with the given coordinates.

11 500

12 Write an equation for the circle that satisfies each set of conditions. Center (-8,7), radius unit 1 2

13 100 (x+8) + (y-7) = 1 4 22

14 Write an equation for the ellipse that satisfies each set of conditions. Endpoints of major axis at (2,12) and (2,-4) endpoints of minor axis at (4,4) and (0,4)

15 (y-4) + (x-2) 200 64 2 4 = 1

16 Write an equation for the circle that satisfies each set of conditions. Center passes through origin

17 300

18 Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse with the given equation.

19 Center (-8,2) Foci Length of Major Axis = 24 Length of Minor Axis = 18 400

20 Find the center and radius of the circle with the given equation. x + y – 3x + 8y = 20 22

21 500 Center (,-4) Radius units

22 Write an equation for the hyperbola that satisfies each set of conditions Vertices (-5,0) and (5,0), conjugate axis of length 12 units

23 100

24 Write each equation in standard from. State whether the graph of the equation is a parabola, circle, ellipse or hyperbola. 4x + 2y = 8 22

25 200 ellipse

26 Find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola with the given equation.

27 300 Vertices (-3,-3), (1,-3) Foci Asymptotes

28 Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

29 400 ellipse

30 Write an equation for the hyperbola that satisfies each set of conditions. Vertices (9,-3), (-5,-3) Foci

31 500

32 Find the exact solution(s) of each system of equations y = x + 2 y = x 2

33 (2,4), (-1,1) 100

34 Use the elimination method to solve the system. y = 13 – x x + 4y = 25 22 22

35 200 y = + 2, x = + 3 (3,2), (-3,2), (-3,-2), and (3,-2)

36 Find the exact solution(s) of each system of equations.

37 300

38 Find the exact solution(s) of each system of equation.

39 400 (-5,5), (-5,1), (3,3)

40 Solve the system of inequalities by graphing. y < x – 2 x + y < 16 2 22

41 500

42 What is the distance formula?

43 100

44 What is the standard form of a parabola that opens up?

45 200

46 What is the equation of a circle?

47 300

48 What is the equation of the directrix in a vertical parabola?

49 400

50 What is the equations of the asymptotes in a hyperbola with the center at (h,k) with a horizontal transverse axis?

51 500


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