& & & Formulas

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

100 units

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

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

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

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

Use the Distance Formula to find the distance from (0, ), (, )

400 1 unit

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

500

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

100 (x+8) + (y-7) =

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)

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

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

300

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

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

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

500 Center (,-4) Radius units

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

100

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

200 ellipse

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

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

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

400 ellipse

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

500

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

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

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

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

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

300

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

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

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

500

What is the distance formula?

100

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

200

What is the equation of a circle?

300

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

400

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

500