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

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100 units

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

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

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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

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

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

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400 1 unit

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

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500

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

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

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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)

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

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

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300

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

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

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

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500 Center (,-4) Radius units

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

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100

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

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200 ellipse

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

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

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

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400 ellipse

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

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500

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

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

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

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

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

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300

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

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

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

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500

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What is the distance formula?

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100

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

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200

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What is the equation of a circle?

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300

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

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400

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

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500

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