Whitehall District Schools ► Pre-Calculus ► Pre-Calc ► Chapter 8: Analytic Geometry in Two- and Three-Dimensions

• Chapter 8: Analytic Geometry in Two- and Three-Dimensions 84 
  • 8.1 Conic Sections and Parabolas 29   
    • 8.1.1 Find Vertex, Fous, Directrix, and Focal Width 5   
      • Find the vertex, focus, directrix, and focal width of the parabola.- x2 = y
      • Find the vertex, focus, directrix, and focal width of the parabola.x = 7y2
      • Find the vertex, focus, directrix, and focal width of the parabola.x2 = 8y
      • Find the vertex, focus, directrix, and focal width of the parabola.y2 = -32x
      • Find the vertex, focus, directrix, and focal width of the parabola.y2 = 16x
    • 8.1.2 Find Equation of Parabola from Graph 6   
      • Find an equation that matches the parabola's graph.
      • Find an equation that matches the parabola's graph.
      • Find an equation that matches the parabola's graph.
      • Find an equation that matches the parabola's graph.
      • Find an equation that matches the parabola's graph.
      • Find an equation that matches the parabola's graph.
    • 8.1.3 Find Equation for Parabola Given Conditions 10   
      • Find the standard form of the equation of the parabola.Focus at (-4, 7), ...
      • Find the standard form of the equation of the parabola.Focus at (0, 3), ...
      • Find the standard form of the equation of the parabola.Focus at (4, -9), ...
      • Find the standard form of the equation of the parabola.Focus at (7, 0), ...
      • Find the standard form of the equation of the parabola.Vertex at (-9, 4), ...
      • Find the standard form of the equation of the parabola.Vertex at (7, -8), ...
      • Find the standard form of the equation of the parabola.Vertex at the origin, ...
      • Find the standard form of the equation of the parabola.Vertex at the origin, ...
      • Find the standard form of the equation of the parabola.Vertex at the origin, ...
      • Find the standard form of the equation of the parabola.Vertex at the origin, ...
    • 8.1.4 Graph Parabola Given Equation 3   
      • Graph the parabola.4y = x2
      • Graph the parabola.4y = -x2
      • Graph the parabola.x = y2
    • 8.1.6 Solve Apps: Parabolas 5   
      • Parabolic Focus
      • Solve the problem. 20 m 1 mA radio telescope has a parabolic surface. If it ...
      • Solve the problem. 39 m  10 mA tunnel is in the shape of a parabola. The ...
      • Solve the problem. 58 ft 28 ftA building has an entry the shape of a ...
      • Solve the problem.A domed ceiling is a parabolic surface. For the best ...
  • 8.2 Ellipses 29   
    • 8.2.1 Find Center, Vertices, Foci of Ellipse 6   
      • Find the center, vertices, and foci of the ellipse with the given equation.
      • Find the center, vertices, and foci of the ellipse with the given equation.
      • Find the center, vertices, and foci of the ellipse with the given equation.
      • Find the center, vertices, and foci of the ellipse with the given equation.
      • Find the center, vertices, and foci of the ellipse with the given equation....
      • Find the center, vertices, and foci of the ellipse with the given equation....
    • 8.2.2 Find Equation of Ellipse from Graph 4   
      • Match the given graph with its equation.
      • Match the given graph with its equation.
      • Match the given graph with its equation.
      • Match the given graph with its equation.
    • 8.2.3 Graph Ellipse from Equation 3   
      • Graph the ellipse. +  = 1
      • Graph the ellipse. +  = 1
      • Graph the ellipse.9x2 + 25y2  = 225
    • 8.2.4 Find Equation of Ellipse Given Conditions 10   
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
      • Find an equation in standard form for the ellipse that satisfies the given ...
    • 8.2.5 Find Eccentricity of Ellipse 3   
      • Find the eccentricity of the ellipse.35x2 + y2 = 35
      • Find the eccentricity of the ellipse.x2 + 3y2 = 15
      • Find the eccentricity of the ellipse.x2 + 7y2 = 7
    • 8.2.6 Solve Apps: Ellipses 3   
      • Solve the problem.A railroad tunnel is shaped like a semiellipse. The height ...
      • Solve the problem.A satellite is to be put into an elliptical orbit around a ...
      • Solve the problem.An elliptical riding path is to be built on a rectangular ...
  • 8.3 Hyperbolas 26   
    • 8.3.1 Find Vertices, Foci of Hyperbola from Equation 3   
      • Find the vertices and foci of the hyperbola. -  = 1
      • Find the vertices and foci of the hyperbola. -  = 1
      • Find the vertices and foci of the hyperbola. -  = 1
    • 8.3.2 Find Equation of Hyperbola from Graph 5   
      • Match the given graph with its equation.
      • Match the given graph with its equation.
      • Match the given graph with its equation.
      • Match the given graph with its equation.
      • Match the given graph with its equation.
    • 8.3.3 Graph Hyperbola from Equation 3   
      • Graph the hyperbola. -  = 1
      • Graph the hyperbola. -  = 1
      • Graph the hyperbola. -  = 1
    • 8.3.4 Find Equation of Hyperbola Given Conditions 7   
      • Find an equation in standard form for the hyperbola that satisfies the given ...
      • Find an equation in standard form for the hyperbola that satisfies the given ...
      • Find an equation in standard form for the hyperbola that satisfies the given ...
      • Find an equation in standard form for the hyperbola that satisfies the given ...
      • Find an equation in standard form for the hyperbola that satisfies the given ...
      • Find an equation in standard form for the hyperbola that satisfies the given ...
      • Find an equation in standard form for the hyperbola that satisfies the given ...
    • 8.3.5 Find Eccentricity of Hyperbola 5   
      • Find the eccentricity of the hyperbola.16x2 - y2 = 1
      • Find the eccentricity of the hyperbola.8x2 - 9y2 = 72
      • Find the eccentricity of the hyperbola.x2 - 16y2 = 1
      • Find the eccentricity of the hyperbola.x2 - 2y2 = 6
      • Find the eccentricity of the hyperbola.x2 - y2 = 49
    • 8.3.6 Solve Apps: Hyperbolas 3   
      • Solve the problem.A comet follows the hyperbolic path described by  -   = 1, ...
      • Solve the problem.The roof of a building is in the shape of the hyperbola 
      • Solve the problem.The roof of a building is in the shape of the hyperbola